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Finding the Fourth Proportional to 157.50, 217.16 and 113.76

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Solution

The fourth proportional to 157.50, 217.16 and 113.76 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 217.16 = 113.76 : x
  2. Step 2: Convert to fraction form
    157.50/217.16 = 113.76/x
  3. Step 3: Cross multiply
    157.50x = 217.16 × 113.76
  4. Step 4: Simplify right side
    157.50x = 24,704.12
  5. Step 5: Solve for x
    x = 24,704.12/157.50
  6. Step 6: Final answer
    x = 156.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.