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Finding the Fourth Proportional to 230.32, 345.84 and 220.06

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Solution

The fourth proportional to 230.32, 345.84 and 220.06 is: 330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 345.84 = 220.06 : x
  2. Step 2: Convert to fraction form
    230.32/345.84 = 220.06/x
  3. Step 3: Cross multiply
    230.32x = 345.84 × 220.06
  4. Step 4: Simplify right side
    230.32x = 76,105.55
  5. Step 5: Solve for x
    x = 76,105.55/230.32
  6. Step 6: Final answer
    x = 330.43

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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.