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Finding the Fourth Proportional to 308.88, 463.92 and 193.38

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Solution

The fourth proportional to 308.88, 463.92 and 193.38 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.88 : 463.92 = 193.38 : x
  2. Step 2: Convert to fraction form
    308.88/463.92 = 193.38/x
  3. Step 3: Cross multiply
    308.88x = 463.92 × 193.38
  4. Step 4: Simplify right side
    308.88x = 89,712.85
  5. Step 5: Solve for x
    x = 89,712.85/308.88
  6. Step 6: Final answer
    x = 290.45

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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.