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Finding the Fourth Proportional to 230.52, 318.16 and 142.05

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Solution

The fourth proportional to 230.52, 318.16 and 142.05 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.52 : 318.16 = 142.05 : x
  2. Step 2: Convert to fraction form
    230.52/318.16 = 142.05/x
  3. Step 3: Cross multiply
    230.52x = 318.16 × 142.05
  4. Step 4: Simplify right side
    230.52x = 45,193.92
  5. Step 5: Solve for x
    x = 45,193.92/230.52
  6. Step 6: Final answer
    x = 196.05

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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.