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Finding the Fourth Proportional to 157.74, 217.57 and 116.30

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Solution

The fourth proportional to 157.74, 217.57 and 116.30 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.74 : 217.57 = 116.30 : x
  2. Step 2: Convert to fraction form
    157.74/217.57 = 116.30/x
  3. Step 3: Cross multiply
    157.74x = 217.57 × 116.30
  4. Step 4: Simplify right side
    157.74x = 25,302.01
  5. Step 5: Solve for x
    x = 25,302.01/157.74
  6. Step 6: Final answer
    x = 160.40

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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.