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Finding the Fourth Proportional to 171.96, 258.06 and 131.40

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Solution

The fourth proportional to 171.96, 258.06 and 131.40 is: 197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 258.06 = 131.40 : x
  2. Step 2: Convert to fraction form
    171.96/258.06 = 131.40/x
  3. Step 3: Cross multiply
    171.96x = 258.06 × 131.40
  4. Step 4: Simplify right side
    171.96x = 33,909.08
  5. Step 5: Solve for x
    x = 33,909.08/171.96
  6. Step 6: Final answer
    x = 197.19

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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.