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Finding the Fourth Proportional to 177.43, 244.62 and 115.15

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Solution

The fourth proportional to 177.43, 244.62 and 115.15 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.43 : 244.62 = 115.15 : x
  2. Step 2: Convert to fraction form
    177.43/244.62 = 115.15/x
  3. Step 3: Cross multiply
    177.43x = 244.62 × 115.15
  4. Step 4: Simplify right side
    177.43x = 28,167.99
  5. Step 5: Solve for x
    x = 28,167.99/177.43
  6. Step 6: Final answer
    x = 158.76

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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.