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Finding the Fourth Proportional to 171.68, 257.00 and 110.69

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Solution

The fourth proportional to 171.68, 257.00 and 110.69 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 257.00 = 110.69 : x
  2. Step 2: Convert to fraction form
    171.68/257.00 = 110.69/x
  3. Step 3: Cross multiply
    171.68x = 257.00 × 110.69
  4. Step 4: Simplify right side
    171.68x = 28,445.49
  5. Step 5: Solve for x
    x = 28,445.49/171.68
  6. Step 6: Final answer
    x = 165.69

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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.