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Finding the Fourth Proportional to 247.61, 371.49 and 165.67

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Solution

The fourth proportional to 247.61, 371.49 and 165.67 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.61 : 371.49 = 165.67 : x
  2. Step 2: Convert to fraction form
    247.61/371.49 = 165.67/x
  3. Step 3: Cross multiply
    247.61x = 371.49 × 165.67
  4. Step 4: Simplify right side
    247.61x = 61,542.89
  5. Step 5: Solve for x
    x = 61,542.89/247.61
  6. Step 6: Final answer
    x = 248.55

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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.