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Finding the Fourth Proportional to 171.92, 256.13 and 166.12

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Solution

The fourth proportional to 171.92, 256.13 and 166.12 is: 247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 256.13 = 166.12 : x
  2. Step 2: Convert to fraction form
    171.92/256.13 = 166.12/x
  3. Step 3: Cross multiply
    171.92x = 256.13 × 166.12
  4. Step 4: Simplify right side
    171.92x = 42,548.32
  5. Step 5: Solve for x
    x = 42,548.32/171.92
  6. Step 6: Final answer
    x = 247.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.