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Finding the Fourth Proportional to 157.96, 237.08 and 76.86

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Solution

The fourth proportional to 157.96, 237.08 and 76.86 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 237.08 = 76.86 : x
  2. Step 2: Convert to fraction form
    157.96/237.08 = 76.86/x
  3. Step 3: Cross multiply
    157.96x = 237.08 × 76.86
  4. Step 4: Simplify right side
    157.96x = 18,221.97
  5. Step 5: Solve for x
    x = 18,221.97/157.96
  6. Step 6: Final answer
    x = 115.36

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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.