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Finding the Fourth Proportional to 308.66, 463.13 and 146.35

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Solution

The fourth proportional to 308.66, 463.13 and 146.35 is: 219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.66 : 463.13 = 146.35 : x
  2. Step 2: Convert to fraction form
    308.66/463.13 = 146.35/x
  3. Step 3: Cross multiply
    308.66x = 463.13 × 146.35
  4. Step 4: Simplify right side
    308.66x = 67,778.28
  5. Step 5: Solve for x
    x = 67,778.28/308.66
  6. Step 6: Final answer
    x = 219.59

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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.