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Finding the Fourth Proportional to 232.87, 349.35 and 146.29

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Solution

The fourth proportional to 232.87, 349.35 and 146.29 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.87 : 349.35 = 146.29 : x
  2. Step 2: Convert to fraction form
    232.87/349.35 = 146.29/x
  3. Step 3: Cross multiply
    232.87x = 349.35 × 146.29
  4. Step 4: Simplify right side
    232.87x = 51,106.41
  5. Step 5: Solve for x
    x = 51,106.41/232.87
  6. Step 6: Final answer
    x = 219.46

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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.