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Finding the Fourth Proportional to 577.06, 865.45 and 166.10

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Solution

The fourth proportional to 577.06, 865.45 and 166.10 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.06 : 865.45 = 166.10 : x
  2. Step 2: Convert to fraction form
    577.06/865.45 = 166.10/x
  3. Step 3: Cross multiply
    577.06x = 865.45 × 166.10
  4. Step 4: Simplify right side
    577.06x = 143,751.25
  5. Step 5: Solve for x
    x = 143,751.25/577.06
  6. Step 6: Final answer
    x = 249.11

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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.