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Finding the Fourth Proportional to 237.17, 355.45 and 107.17

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Solution

The fourth proportional to 237.17, 355.45 and 107.17 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.17 : 355.45 = 107.17 : x
  2. Step 2: Convert to fraction form
    237.17/355.45 = 107.17/x
  3. Step 3: Cross multiply
    237.17x = 355.45 × 107.17
  4. Step 4: Simplify right side
    237.17x = 38,091.80
  5. Step 5: Solve for x
    x = 38,091.80/237.17
  6. Step 6: Final answer
    x = 160.61

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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.