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Finding the Fourth Proportional to 171.20, 257.00 and 132.84

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Solution

The fourth proportional to 171.20, 257.00 and 132.84 is: 199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 257.00 = 132.84 : x
  2. Step 2: Convert to fraction form
    171.20/257.00 = 132.84/x
  3. Step 3: Cross multiply
    171.20x = 257.00 × 132.84
  4. Step 4: Simplify right side
    171.20x = 34,139.22
  5. Step 5: Solve for x
    x = 34,139.22/171.20
  6. Step 6: Final answer
    x = 199.41

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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.