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Finding the Fourth Proportional to 165.31, 247.96 and 49.76

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Solution

The fourth proportional to 165.31, 247.96 and 49.76 is: 74.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 247.96 = 49.76 : x
  2. Step 2: Convert to fraction form
    165.31/247.96 = 49.76/x
  3. Step 3: Cross multiply
    165.31x = 247.96 × 49.76
  4. Step 4: Simplify right side
    165.31x = 12,337.78
  5. Step 5: Solve for x
    x = 12,337.78/165.31
  6. Step 6: Final answer
    x = 74.64

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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.