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Finding the Fourth Proportional to 247.31, 370.58 and 178.76

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Solution

The fourth proportional to 247.31, 370.58 and 178.76 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.31 : 370.58 = 178.76 : x
  2. Step 2: Convert to fraction form
    247.31/370.58 = 178.76/x
  3. Step 3: Cross multiply
    247.31x = 370.58 × 178.76
  4. Step 4: Simplify right side
    247.31x = 66,243.47
  5. Step 5: Solve for x
    x = 66,243.47/247.31
  6. Step 6: Final answer
    x = 267.86

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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.