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Finding the Fourth Proportional to 165.16, 247.82 and 82.90

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Solution

The fourth proportional to 165.16, 247.82 and 82.90 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 247.82 = 82.90 : x
  2. Step 2: Convert to fraction form
    165.16/247.82 = 82.90/x
  3. Step 3: Cross multiply
    165.16x = 247.82 × 82.90
  4. Step 4: Simplify right side
    165.16x = 20,543.86
  5. Step 5: Solve for x
    x = 20,543.86/165.16
  6. Step 6: Final answer
    x = 124.39

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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.