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Finding the Fourth Proportional to 230.66, 318.22 and 147.73

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Solution

The fourth proportional to 230.66, 318.22 and 147.73 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.66 : 318.22 = 147.73 : x
  2. Step 2: Convert to fraction form
    230.66/318.22 = 147.73/x
  3. Step 3: Cross multiply
    230.66x = 318.22 × 147.73
  4. Step 4: Simplify right side
    230.66x = 47,010.64
  5. Step 5: Solve for x
    x = 47,010.64/230.66
  6. Step 6: Final answer
    x = 203.81

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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.