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Finding the Fourth Proportional to 171.52, 257.10 and 130.84

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Solution

The fourth proportional to 171.52, 257.10 and 130.84 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.52 : 257.10 = 130.84 : x
  2. Step 2: Convert to fraction form
    171.52/257.10 = 130.84/x
  3. Step 3: Cross multiply
    171.52x = 257.10 × 130.84
  4. Step 4: Simplify right side
    171.52x = 33,638.96
  5. Step 5: Solve for x
    x = 33,638.96/171.52
  6. Step 6: Final answer
    x = 196.12

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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.