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Finding the Fourth Proportional to 178.52, 247.60 and 171.23

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Solution

The fourth proportional to 178.52, 247.60 and 171.23 is: 237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.52 : 247.60 = 171.23 : x
  2. Step 2: Convert to fraction form
    178.52/247.60 = 171.23/x
  3. Step 3: Cross multiply
    178.52x = 247.60 × 171.23
  4. Step 4: Simplify right side
    178.52x = 42,395.52
  5. Step 5: Solve for x
    x = 42,395.52/178.52
  6. Step 6: Final answer
    x = 237.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.