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Finding the Fourth Proportional to 247.79, 371.52 and 217.42

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Solution

The fourth proportional to 247.79, 371.52 and 217.42 is: 325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.79 : 371.52 = 217.42 : x
  2. Step 2: Convert to fraction form
    247.79/371.52 = 217.42/x
  3. Step 3: Cross multiply
    247.79x = 371.52 × 217.42
  4. Step 4: Simplify right side
    247.79x = 80,774.95
  5. Step 5: Solve for x
    x = 80,774.95/247.79
  6. Step 6: Final answer
    x = 325.98

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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.