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Finding the Fourth Proportional to 171.24, 256.86 and 110.76

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Solution

The fourth proportional to 171.24, 256.86 and 110.76 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.86 = 110.76 : x
  2. Step 2: Convert to fraction form
    171.24/256.86 = 110.76/x
  3. Step 3: Cross multiply
    171.24x = 256.86 × 110.76
  4. Step 4: Simplify right side
    171.24x = 28,449.81
  5. Step 5: Solve for x
    x = 28,449.81/171.24
  6. Step 6: Final answer
    x = 166.14

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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.