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Finding the Fourth Proportional to 308.61, 463.37 and 146.41

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Solution

The fourth proportional to 308.61, 463.37 and 146.41 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 463.37 = 146.41 : x
  2. Step 2: Convert to fraction form
    308.61/463.37 = 146.41/x
  3. Step 3: Cross multiply
    308.61x = 463.37 × 146.41
  4. Step 4: Simplify right side
    308.61x = 67,842.00
  5. Step 5: Solve for x
    x = 67,842.00/308.61
  6. Step 6: Final answer
    x = 219.83

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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.