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Finding the Fourth Proportional to 230.16, 345.32 and 67.88

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Solution

The fourth proportional to 230.16, 345.32 and 67.88 is: 101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.16 : 345.32 = 67.88 : x
  2. Step 2: Convert to fraction form
    230.16/345.32 = 67.88/x
  3. Step 3: Cross multiply
    230.16x = 345.32 × 67.88
  4. Step 4: Simplify right side
    230.16x = 23,440.32
  5. Step 5: Solve for x
    x = 23,440.32/230.16
  6. Step 6: Final answer
    x = 101.84

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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.