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Finding the Fourth Proportional to 308.65, 463.05 and 126.16

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Solution

The fourth proportional to 308.65, 463.05 and 126.16 is: 189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.65 : 463.05 = 126.16 : x
  2. Step 2: Convert to fraction form
    308.65/463.05 = 126.16/x
  3. Step 3: Cross multiply
    308.65x = 463.05 × 126.16
  4. Step 4: Simplify right side
    308.65x = 58,418.39
  5. Step 5: Solve for x
    x = 58,418.39/308.65
  6. Step 6: Final answer
    x = 189.27

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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.