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Finding the Fourth Proportional to 165.41, 228.24 and 140.61

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Solution

The fourth proportional to 165.41, 228.24 and 140.61 is: 194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.41 : 228.24 = 140.61 : x
  2. Step 2: Convert to fraction form
    165.41/228.24 = 140.61/x
  3. Step 3: Cross multiply
    165.41x = 228.24 × 140.61
  4. Step 4: Simplify right side
    165.41x = 32,092.12
  5. Step 5: Solve for x
    x = 32,092.12/165.41
  6. Step 6: Final answer
    x = 194.02

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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.