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Finding the Fourth Proportional to 177.47, 244.75 and 115.24

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Solution

The fourth proportional to 177.47, 244.75 and 115.24 is: 158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.47 : 244.75 = 115.24 : x
  2. Step 2: Convert to fraction form
    177.47/244.75 = 115.24/x
  3. Step 3: Cross multiply
    177.47x = 244.75 × 115.24
  4. Step 4: Simplify right side
    177.47x = 28,204.77
  5. Step 5: Solve for x
    x = 28,204.77/177.47
  6. Step 6: Final answer
    x = 158.93

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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.