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Finding the Fourth Proportional to 232.98, 348.64 and 204.42

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Solution

The fourth proportional to 232.98, 348.64 and 204.42 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 348.64 = 204.42 : x
  2. Step 2: Convert to fraction form
    232.98/348.64 = 204.42/x
  3. Step 3: Cross multiply
    232.98x = 348.64 × 204.42
  4. Step 4: Simplify right side
    232.98x = 71,269.79
  5. Step 5: Solve for x
    x = 71,269.79/232.98
  6. Step 6: Final answer
    x = 305.91

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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.