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Finding the Fourth Proportional to 157.74, 217.80 and 116.22

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Solution

The fourth proportional to 157.74, 217.80 and 116.22 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.74 : 217.80 = 116.22 : x
  2. Step 2: Convert to fraction form
    157.74/217.80 = 116.22/x
  3. Step 3: Cross multiply
    157.74x = 217.80 × 116.22
  4. Step 4: Simplify right side
    157.74x = 25,312.72
  5. Step 5: Solve for x
    x = 25,312.72/157.74
  6. Step 6: Final answer
    x = 160.47

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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.