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Finding the Fourth Proportional to 157.29, 217.03 and 133.85

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Solution

The fourth proportional to 157.29, 217.03 and 133.85 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 217.03 = 133.85 : x
  2. Step 2: Convert to fraction form
    157.29/217.03 = 133.85/x
  3. Step 3: Cross multiply
    157.29x = 217.03 × 133.85
  4. Step 4: Simplify right side
    157.29x = 29,049.92
  5. Step 5: Solve for x
    x = 29,049.92/157.29
  6. Step 6: Final answer
    x = 184.69

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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.