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Finding the Fourth Proportional to 237.14, 355.69 and 74.81

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Solution

The fourth proportional to 237.14, 355.69 and 74.81 is: 112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.14 : 355.69 = 74.81 : x
  2. Step 2: Convert to fraction form
    237.14/355.69 = 74.81/x
  3. Step 3: Cross multiply
    237.14x = 355.69 × 74.81
  4. Step 4: Simplify right side
    237.14x = 26,609.87
  5. Step 5: Solve for x
    x = 26,609.87/237.14
  6. Step 6: Final answer
    x = 112.21

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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.