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Finding the Fourth Proportional to 230.15, 345.24 and 67.85

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Solution

The fourth proportional to 230.15, 345.24 and 67.85 is: 101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.15 : 345.24 = 67.85 : x
  2. Step 2: Convert to fraction form
    230.15/345.24 = 67.85/x
  3. Step 3: Cross multiply
    230.15x = 345.24 × 67.85
  4. Step 4: Simplify right side
    230.15x = 23,424.53
  5. Step 5: Solve for x
    x = 23,424.53/230.15
  6. Step 6: Final answer
    x = 101.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.