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Finding the Fourth Proportional to 577.20, 865.92 and 166.35

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Solution

The fourth proportional to 577.20, 865.92 and 166.35 is: 249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 865.92 = 166.35 : x
  2. Step 2: Convert to fraction form
    577.20/865.92 = 166.35/x
  3. Step 3: Cross multiply
    577.20x = 865.92 × 166.35
  4. Step 4: Simplify right side
    577.20x = 144,045.79
  5. Step 5: Solve for x
    x = 144,045.79/577.20
  6. Step 6: Final answer
    x = 249.56

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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.