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Finding the Fourth Proportional to 177.72, 243.48 and 171.24

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Solution

The fourth proportional to 177.72, 243.48 and 171.24 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 243.48 = 171.24 : x
  2. Step 2: Convert to fraction form
    177.72/243.48 = 171.24/x
  3. Step 3: Cross multiply
    177.72x = 243.48 × 171.24
  4. Step 4: Simplify right side
    177.72x = 41,693.52
  5. Step 5: Solve for x
    x = 41,693.52/177.72
  6. Step 6: Final answer
    x = 234.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.