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Finding the Fourth Proportional to 577.43, 866.20 and 166.56

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Solution

The fourth proportional to 577.43, 866.20 and 166.56 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.43 : 866.20 = 166.56 : x
  2. Step 2: Convert to fraction form
    577.43/866.20 = 166.56/x
  3. Step 3: Cross multiply
    577.43x = 866.20 × 166.56
  4. Step 4: Simplify right side
    577.43x = 144,274.27
  5. Step 5: Solve for x
    x = 144,274.27/577.43
  6. Step 6: Final answer
    x = 249.86

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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.