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Finding the Fourth Proportional to 230.49, 318.13 and 143.11

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Solution

The fourth proportional to 230.49, 318.13 and 143.11 is: 197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 318.13 = 143.11 : x
  2. Step 2: Convert to fraction form
    230.49/318.13 = 143.11/x
  3. Step 3: Cross multiply
    230.49x = 318.13 × 143.11
  4. Step 4: Simplify right side
    230.49x = 45,527.58
  5. Step 5: Solve for x
    x = 45,527.58/230.49
  6. Step 6: Final answer
    x = 197.53

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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.