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Finding the Fourth Proportional to 463.50, 695.13 and 138.78

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Solution

The fourth proportional to 463.50, 695.13 and 138.78 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 695.13 = 138.78 : x
  2. Step 2: Convert to fraction form
    463.50/695.13 = 138.78/x
  3. Step 3: Cross multiply
    463.50x = 695.13 × 138.78
  4. Step 4: Simplify right side
    463.50x = 96,470.14
  5. Step 5: Solve for x
    x = 96,470.14/463.50
  6. Step 6: Final answer
    x = 208.13

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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.