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Finding the Fourth Proportional to 463.73, 695.61 and 139.10

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Solution

The fourth proportional to 463.73, 695.61 and 139.10 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.73 : 695.61 = 139.10 : x
  2. Step 2: Convert to fraction form
    463.73/695.61 = 139.10/x
  3. Step 3: Cross multiply
    463.73x = 695.61 × 139.10
  4. Step 4: Simplify right side
    463.73x = 96,755.87
  5. Step 5: Solve for x
    x = 96,755.87/463.73
  6. Step 6: Final answer
    x = 208.65

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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.