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Finding the Fourth Proportional to 230.69, 318.29 and 142.14

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Solution

The fourth proportional to 230.69, 318.29 and 142.14 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 318.29 = 142.14 : x
  2. Step 2: Convert to fraction form
    230.69/318.29 = 142.14/x
  3. Step 3: Cross multiply
    230.69x = 318.29 × 142.14
  4. Step 4: Simplify right side
    230.69x = 45,241.03
  5. Step 5: Solve for x
    x = 45,241.03/230.69
  6. Step 6: Final answer
    x = 196.11

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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.