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Finding the Fourth Proportional to 465.47, 698.25 and 140.78

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Solution

The fourth proportional to 465.47, 698.25 and 140.78 is: 211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.47 : 698.25 = 140.78 : x
  2. Step 2: Convert to fraction form
    465.47/698.25 = 140.78/x
  3. Step 3: Cross multiply
    465.47x = 698.25 × 140.78
  4. Step 4: Simplify right side
    465.47x = 98,299.64
  5. Step 5: Solve for x
    x = 98,299.64/465.47
  6. Step 6: Final answer
    x = 211.18

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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.