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Finding the Fourth Proportional to 247.38, 370.77 and 178.53

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Solution

The fourth proportional to 247.38, 370.77 and 178.53 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.38 : 370.77 = 178.53 : x
  2. Step 2: Convert to fraction form
    247.38/370.77 = 178.53/x
  3. Step 3: Cross multiply
    247.38x = 370.77 × 178.53
  4. Step 4: Simplify right side
    247.38x = 66,193.57
  5. Step 5: Solve for x
    x = 66,193.57/247.38
  6. Step 6: Final answer
    x = 267.58

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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.