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Finding the Fourth Proportional to 171.92, 236.63 and 165.71

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Solution

The fourth proportional to 171.92, 236.63 and 165.71 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 236.63 = 165.71 : x
  2. Step 2: Convert to fraction form
    171.92/236.63 = 165.71/x
  3. Step 3: Cross multiply
    171.92x = 236.63 × 165.71
  4. Step 4: Simplify right side
    171.92x = 39,209.95
  5. Step 5: Solve for x
    x = 39,209.95/171.92
  6. Step 6: Final answer
    x = 228.08

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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.