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Finding the Fourth Proportional to 178.34, 267.56 and 62.78

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Solution

The fourth proportional to 178.34, 267.56 and 62.78 is: 94.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 267.56 = 62.78 : x
  2. Step 2: Convert to fraction form
    178.34/267.56 = 62.78/x
  3. Step 3: Cross multiply
    178.34x = 267.56 × 62.78
  4. Step 4: Simplify right side
    178.34x = 16,796.00
  5. Step 5: Solve for x
    x = 16,796.00/178.34
  6. Step 6: Final answer
    x = 94.18

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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.