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Finding the Fourth Proportional to 134.80, 202.17 and 131.52

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Solution

The fourth proportional to 134.80, 202.17 and 131.52 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 202.17 = 131.52 : x
  2. Step 2: Convert to fraction form
    134.80/202.17 = 131.52/x
  3. Step 3: Cross multiply
    134.80x = 202.17 × 131.52
  4. Step 4: Simplify right side
    134.80x = 26,589.40
  5. Step 5: Solve for x
    x = 26,589.40/134.80
  6. Step 6: Final answer
    x = 197.25

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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.