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Finding the Fourth Proportional to 244.38, 337.20 and 165.76

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Solution

The fourth proportional to 244.38, 337.20 and 165.76 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.38 : 337.20 = 165.76 : x
  2. Step 2: Convert to fraction form
    244.38/337.20 = 165.76/x
  3. Step 3: Cross multiply
    244.38x = 337.20 × 165.76
  4. Step 4: Simplify right side
    244.38x = 55,892.60
  5. Step 5: Solve for x
    x = 55,892.60/244.38
  6. Step 6: Final answer
    x = 228.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.