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Finding the Fourth Proportional to 230.61, 318.06 and 151.92

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Solution

The fourth proportional to 230.61, 318.06 and 151.92 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 318.06 = 151.92 : x
  2. Step 2: Convert to fraction form
    230.61/318.06 = 151.92/x
  3. Step 3: Cross multiply
    230.61x = 318.06 × 151.92
  4. Step 4: Simplify right side
    230.61x = 48,319.68
  5. Step 5: Solve for x
    x = 48,319.68/230.61
  6. Step 6: Final answer
    x = 209.53

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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.