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Finding the Fourth Proportional to 247.37, 370.92 and 144.85

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Solution

The fourth proportional to 247.37, 370.92 and 144.85 is: 217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.37 : 370.92 = 144.85 : x
  2. Step 2: Convert to fraction form
    247.37/370.92 = 144.85/x
  3. Step 3: Cross multiply
    247.37x = 370.92 × 144.85
  4. Step 4: Simplify right side
    247.37x = 53,726.11
  5. Step 5: Solve for x
    x = 53,726.11/247.37
  6. Step 6: Final answer
    x = 217.19

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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.