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Finding the Fourth Proportional to 232.89, 349.29 and 146.22

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Solution

The fourth proportional to 232.89, 349.29 and 146.22 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 349.29 = 146.22 : x
  2. Step 2: Convert to fraction form
    232.89/349.29 = 146.22/x
  3. Step 3: Cross multiply
    232.89x = 349.29 × 146.22
  4. Step 4: Simplify right side
    232.89x = 51,073.18
  5. Step 5: Solve for x
    x = 51,073.18/232.89
  6. Step 6: Final answer
    x = 219.30

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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.