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Finding the Fourth Proportional to 266.83, 398.11 and 232.54

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Solution

The fourth proportional to 266.83, 398.11 and 232.54 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 398.11 = 232.54 : x
  2. Step 2: Convert to fraction form
    266.83/398.11 = 232.54/x
  3. Step 3: Cross multiply
    266.83x = 398.11 × 232.54
  4. Step 4: Simplify right side
    266.83x = 92,576.50
  5. Step 5: Solve for x
    x = 92,576.50/266.83
  6. Step 6: Final answer
    x = 346.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.