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Finding the Fourth Proportional to 308.87, 462.59 and 146.19

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Solution

The fourth proportional to 308.87, 462.59 and 146.19 is: 218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.87 : 462.59 = 146.19 : x
  2. Step 2: Convert to fraction form
    308.87/462.59 = 146.19/x
  3. Step 3: Cross multiply
    308.87x = 462.59 × 146.19
  4. Step 4: Simplify right side
    308.87x = 67,625.30
  5. Step 5: Solve for x
    x = 67,625.30/308.87
  6. Step 6: Final answer
    x = 218.95

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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.