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Finding the Fourth Proportional to 577.02, 865.52 and 166.17

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Solution

The fourth proportional to 577.02, 865.52 and 166.17 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.02 : 865.52 = 166.17 : x
  2. Step 2: Convert to fraction form
    577.02/865.52 = 166.17/x
  3. Step 3: Cross multiply
    577.02x = 865.52 × 166.17
  4. Step 4: Simplify right side
    577.02x = 143,823.46
  5. Step 5: Solve for x
    x = 143,823.46/577.02
  6. Step 6: Final answer
    x = 249.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.