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Finding the Fourth Proportional to 157.16, 217.37 and 140.78

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Solution

The fourth proportional to 157.16, 217.37 and 140.78 is: 194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.16 : 217.37 = 140.78 : x
  2. Step 2: Convert to fraction form
    157.16/217.37 = 140.78/x
  3. Step 3: Cross multiply
    157.16x = 217.37 × 140.78
  4. Step 4: Simplify right side
    157.16x = 30,601.35
  5. Step 5: Solve for x
    x = 30,601.35/157.16
  6. Step 6: Final answer
    x = 194.71

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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.