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Finding the Fourth Proportional to 230.68, 318.41 and 147.84

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Solution

The fourth proportional to 230.68, 318.41 and 147.84 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 318.41 = 147.84 : x
  2. Step 2: Convert to fraction form
    230.68/318.41 = 147.84/x
  3. Step 3: Cross multiply
    230.68x = 318.41 × 147.84
  4. Step 4: Simplify right side
    230.68x = 47,073.73
  5. Step 5: Solve for x
    x = 47,073.73/230.68
  6. Step 6: Final answer
    x = 204.07

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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.