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Finding the Fourth Proportional to 177.56, 244.90 and 115.32

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Solution

The fourth proportional to 177.56, 244.90 and 115.32 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 244.90 = 115.32 : x
  2. Step 2: Convert to fraction form
    177.56/244.90 = 115.32/x
  3. Step 3: Cross multiply
    177.56x = 244.90 × 115.32
  4. Step 4: Simplify right side
    177.56x = 28,241.87
  5. Step 5: Solve for x
    x = 28,241.87/177.56
  6. Step 6: Final answer
    x = 159.06

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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.