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Finding the Fourth Proportional to 230.65, 346.28 and 220.88

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Solution

The fourth proportional to 230.65, 346.28 and 220.88 is: 331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.65 : 346.28 = 220.88 : x
  2. Step 2: Convert to fraction form
    230.65/346.28 = 220.88/x
  3. Step 3: Cross multiply
    230.65x = 346.28 × 220.88
  4. Step 4: Simplify right side
    230.65x = 76,485.34
  5. Step 5: Solve for x
    x = 76,485.34/230.65
  6. Step 6: Final answer
    x = 331.61

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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.