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Finding the Fourth Proportional to 308.20, 462.02 and 146.08

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Solution

The fourth proportional to 308.20, 462.02 and 146.08 is: 218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.20 : 462.02 = 146.08 : x
  2. Step 2: Convert to fraction form
    308.20/462.02 = 146.08/x
  3. Step 3: Cross multiply
    308.20x = 462.02 × 146.08
  4. Step 4: Simplify right side
    308.20x = 67,491.88
  5. Step 5: Solve for x
    x = 67,491.88/308.20
  6. Step 6: Final answer
    x = 218.99

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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.