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Finding the Fourth Proportional to 171.30, 257 and 132.83

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Solution

The fourth proportional to 171.30, 257 and 132.83 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 257 = 132.83 : x
  2. Step 2: Convert to fraction form
    171.30/257 = 132.83/x
  3. Step 3: Cross multiply
    171.30x = 257 × 132.83
  4. Step 4: Simplify right side
    171.30x = 34,137.31
  5. Step 5: Solve for x
    x = 34,137.31/171.30
  6. Step 6: Final answer
    x = 199.28

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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.