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Finding the Fourth Proportional to 571.47, 857.17 and 160.57

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Solution

The fourth proportional to 571.47, 857.17 and 160.57 is: 240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.47 : 857.17 = 160.57 : x
  2. Step 2: Convert to fraction form
    571.47/857.17 = 160.57/x
  3. Step 3: Cross multiply
    571.47x = 857.17 × 160.57
  4. Step 4: Simplify right side
    571.47x = 137,635.79
  5. Step 5: Solve for x
    x = 137,635.79/571.47
  6. Step 6: Final answer
    x = 240.85

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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.