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Finding the Fourth Proportional to 230.67, 318.35 and 142.12

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Solution

The fourth proportional to 230.67, 318.35 and 142.12 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.67 : 318.35 = 142.12 : x
  2. Step 2: Convert to fraction form
    230.67/318.35 = 142.12/x
  3. Step 3: Cross multiply
    230.67x = 318.35 × 142.12
  4. Step 4: Simplify right side
    230.67x = 45,243.90
  5. Step 5: Solve for x
    x = 45,243.90/230.67
  6. Step 6: Final answer
    x = 196.14

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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.