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Finding the Fourth Proportional to 230.74, 318.35 and 147.85

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Solution

The fourth proportional to 230.74, 318.35 and 147.85 is: 203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.74 : 318.35 = 147.85 : x
  2. Step 2: Convert to fraction form
    230.74/318.35 = 147.85/x
  3. Step 3: Cross multiply
    230.74x = 318.35 × 147.85
  4. Step 4: Simplify right side
    230.74x = 47,067.62
  5. Step 5: Solve for x
    x = 47,067.62/230.74
  6. Step 6: Final answer
    x = 203.99

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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.