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Finding the Fourth Proportional to 230.76, 318.27 and 142.20

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Solution

The fourth proportional to 230.76, 318.27 and 142.20 is: 196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 318.27 = 142.20 : x
  2. Step 2: Convert to fraction form
    230.76/318.27 = 142.20/x
  3. Step 3: Cross multiply
    230.76x = 318.27 × 142.20
  4. Step 4: Simplify right side
    230.76x = 45,257.99
  5. Step 5: Solve for x
    x = 45,257.99/230.76
  6. Step 6: Final answer
    x = 196.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.