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Finding the Fourth Proportional to 308.80, 463.08 and 146.44

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Solution

The fourth proportional to 308.80, 463.08 and 146.44 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 463.08 = 146.44 : x
  2. Step 2: Convert to fraction form
    308.80/463.08 = 146.44/x
  3. Step 3: Cross multiply
    308.80x = 463.08 × 146.44
  4. Step 4: Simplify right side
    308.80x = 67,813.44
  5. Step 5: Solve for x
    x = 67,813.44/308.80
  6. Step 6: Final answer
    x = 219.60

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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.