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Finding the Fourth Proportional to 178.48, 267.52 and 137.78

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Solution

The fourth proportional to 178.48, 267.52 and 137.78 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 267.52 = 137.78 : x
  2. Step 2: Convert to fraction form
    178.48/267.52 = 137.78/x
  3. Step 3: Cross multiply
    178.48x = 267.52 × 137.78
  4. Step 4: Simplify right side
    178.48x = 36,858.91
  5. Step 5: Solve for x
    x = 36,858.91/178.48
  6. Step 6: Final answer
    x = 206.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.