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Finding the Fourth Proportional to 577.08, 865.52 and 166.18

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Solution

The fourth proportional to 577.08, 865.52 and 166.18 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 865.52 = 166.18 : x
  2. Step 2: Convert to fraction form
    577.08/865.52 = 166.18/x
  3. Step 3: Cross multiply
    577.08x = 865.52 × 166.18
  4. Step 4: Simplify right side
    577.08x = 143,832.11
  5. Step 5: Solve for x
    x = 143,832.11/577.08
  6. Step 6: Final answer
    x = 249.24

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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.