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Finding the Fourth Proportional to 308.64, 463.08 and 146.21

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Solution

The fourth proportional to 308.64, 463.08 and 146.21 is: 219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 463.08 = 146.21 : x
  2. Step 2: Convert to fraction form
    308.64/463.08 = 146.21/x
  3. Step 3: Cross multiply
    308.64x = 463.08 × 146.21
  4. Step 4: Simplify right side
    308.64x = 67,706.93
  5. Step 5: Solve for x
    x = 67,706.93/308.64
  6. Step 6: Final answer
    x = 219.37

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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.