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Finding the Fourth Proportional to 463.56, 695.13 and 138.85

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Solution

The fourth proportional to 463.56, 695.13 and 138.85 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 695.13 = 138.85 : x
  2. Step 2: Convert to fraction form
    463.56/695.13 = 138.85/x
  3. Step 3: Cross multiply
    463.56x = 695.13 × 138.85
  4. Step 4: Simplify right side
    463.56x = 96,517.32
  5. Step 5: Solve for x
    x = 96,517.32/463.56
  6. Step 6: Final answer
    x = 208.21

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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.