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Finding the Fourth Proportional to 465.68, 698.41 and 136.54

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Solution

The fourth proportional to 465.68, 698.41 and 136.54 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 698.41 = 136.54 : x
  2. Step 2: Convert to fraction form
    465.68/698.41 = 136.54/x
  3. Step 3: Cross multiply
    465.68x = 698.41 × 136.54
  4. Step 4: Simplify right side
    465.68x = 95,361.95
  5. Step 5: Solve for x
    x = 95,361.95/465.68
  6. Step 6: Final answer
    x = 204.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.