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Finding the Fourth Proportional to 202.92, 304.31 and 93.17

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Solution

The fourth proportional to 202.92, 304.31 and 93.17 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 304.31 = 93.17 : x
  2. Step 2: Convert to fraction form
    202.92/304.31 = 93.17/x
  3. Step 3: Cross multiply
    202.92x = 304.31 × 93.17
  4. Step 4: Simplify right side
    202.92x = 28,350.58
  5. Step 5: Solve for x
    x = 28,350.58/202.92
  6. Step 6: Final answer
    x = 139.71

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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.