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Finding the Fourth Proportional to 462.84, 694.12 and 138.09

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Solution

The fourth proportional to 462.84, 694.12 and 138.09 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 694.12 = 138.09 : x
  2. Step 2: Convert to fraction form
    462.84/694.12 = 138.09/x
  3. Step 3: Cross multiply
    462.84x = 694.12 × 138.09
  4. Step 4: Simplify right side
    462.84x = 95,851.03
  5. Step 5: Solve for x
    x = 95,851.03/462.84
  6. Step 6: Final answer
    x = 207.09

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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.