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Finding the Fourth Proportional to 230.69, 318.43 and 132.48

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Solution

The fourth proportional to 230.69, 318.43 and 132.48 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 318.43 = 132.48 : x
  2. Step 2: Convert to fraction form
    230.69/318.43 = 132.48/x
  3. Step 3: Cross multiply
    230.69x = 318.43 × 132.48
  4. Step 4: Simplify right side
    230.69x = 42,185.77
  5. Step 5: Solve for x
    x = 42,185.77/230.69
  6. Step 6: Final answer
    x = 182.87

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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.