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Finding the Fourth Proportional to 463.00, 694.50 and 138.34

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Solution

The fourth proportional to 463.00, 694.50 and 138.34 is: 207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.00 : 694.50 = 138.34 : x
  2. Step 2: Convert to fraction form
    463.00/694.50 = 138.34/x
  3. Step 3: Cross multiply
    463.00x = 694.50 × 138.34
  4. Step 4: Simplify right side
    463.00x = 96,072.97
  5. Step 5: Solve for x
    x = 96,072.97/463.00
  6. Step 6: Final answer
    x = 207.50

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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.