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Finding the Fourth Proportional to 165.32, 228.20 and 99.82

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Solution

The fourth proportional to 165.32, 228.20 and 99.82 is: 137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 228.20 = 99.82 : x
  2. Step 2: Convert to fraction form
    165.32/228.20 = 99.82/x
  3. Step 3: Cross multiply
    165.32x = 228.20 × 99.82
  4. Step 4: Simplify right side
    165.32x = 22,777.85
  5. Step 5: Solve for x
    x = 22,777.85/165.32
  6. Step 6: Final answer
    x = 137.78

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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.