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Finding the Fourth Proportional to 462.95, 694.31 and 133.89

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Solution

The fourth proportional to 462.95, 694.31 and 133.89 is: 200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.95 : 694.31 = 133.89 : x
  2. Step 2: Convert to fraction form
    462.95/694.31 = 133.89/x
  3. Step 3: Cross multiply
    462.95x = 694.31 × 133.89
  4. Step 4: Simplify right side
    462.95x = 92,957.89
  5. Step 5: Solve for x
    x = 92,957.89/462.95
  6. Step 6: Final answer
    x = 200.80

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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.