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Finding the Fourth Proportional to 308.84, 463.31 and 154.77

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Solution

The fourth proportional to 308.84, 463.31 and 154.77 is: 232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.84 : 463.31 = 154.77 : x
  2. Step 2: Convert to fraction form
    308.84/463.31 = 154.77/x
  3. Step 3: Cross multiply
    308.84x = 463.31 × 154.77
  4. Step 4: Simplify right side
    308.84x = 71,706.49
  5. Step 5: Solve for x
    x = 71,706.49/308.84
  6. Step 6: Final answer
    x = 232.18

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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.