Home / 204.20-306.14-131.12

Finding the Fourth Proportional to 204.20, 306.14 and 131.12

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Solution

The fourth proportional to 204.20, 306.14 and 131.12 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.20 : 306.14 = 131.12 : x
  2. Step 2: Convert to fraction form
    204.20/306.14 = 131.12/x
  3. Step 3: Cross multiply
    204.20x = 306.14 × 131.12
  4. Step 4: Simplify right side
    204.20x = 40,141.08
  5. Step 5: Solve for x
    x = 40,141.08/204.20
  6. Step 6: Final answer
    x = 196.58

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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.