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Finding the Fourth Proportional to 237.40, 355.71 and 113.86

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Solution

The fourth proportional to 237.40, 355.71 and 113.86 is: 170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 355.71 = 113.86 : x
  2. Step 2: Convert to fraction form
    237.40/355.71 = 113.86/x
  3. Step 3: Cross multiply
    237.40x = 355.71 × 113.86
  4. Step 4: Simplify right side
    237.40x = 40,501.14
  5. Step 5: Solve for x
    x = 40,501.14/237.40
  6. Step 6: Final answer
    x = 170.60

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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.