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Finding the Fourth Proportional to 177.74, 245.24 and 115.64

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Solution

The fourth proportional to 177.74, 245.24 and 115.64 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 245.24 = 115.64 : x
  2. Step 2: Convert to fraction form
    177.74/245.24 = 115.64/x
  3. Step 3: Cross multiply
    177.74x = 245.24 × 115.64
  4. Step 4: Simplify right side
    177.74x = 28,359.55
  5. Step 5: Solve for x
    x = 28,359.55/177.74
  6. Step 6: Final answer
    x = 159.56

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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.