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Finding the Fourth Proportional to 177.73, 245.21 and 115.46

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Solution

The fourth proportional to 177.73, 245.21 and 115.46 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 245.21 = 115.46 : x
  2. Step 2: Convert to fraction form
    177.73/245.21 = 115.46/x
  3. Step 3: Cross multiply
    177.73x = 245.21 × 115.46
  4. Step 4: Simplify right side
    177.73x = 28,310.14
  5. Step 5: Solve for x
    x = 28,310.14/177.73
  6. Step 6: Final answer
    x = 159.29

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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.