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Finding the Fourth Proportional to 171.68, 257.61 and 132.99

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Solution

The fourth proportional to 171.68, 257.61 and 132.99 is: 199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 257.61 = 132.99 : x
  2. Step 2: Convert to fraction form
    171.68/257.61 = 132.99/x
  3. Step 3: Cross multiply
    171.68x = 257.61 × 132.99
  4. Step 4: Simplify right side
    171.68x = 34,259.55
  5. Step 5: Solve for x
    x = 34,259.55/171.68
  6. Step 6: Final answer
    x = 199.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.