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Finding the Fourth Proportional to 232.77, 348.98 and 205.41

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Solution

The fourth proportional to 232.77, 348.98 and 205.41 is: 307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.77 : 348.98 = 205.41 : x
  2. Step 2: Convert to fraction form
    232.77/348.98 = 205.41/x
  3. Step 3: Cross multiply
    232.77x = 348.98 × 205.41
  4. Step 4: Simplify right side
    232.77x = 71,682.95
  5. Step 5: Solve for x
    x = 71,682.95/232.77
  6. Step 6: Final answer
    x = 307.96

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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.