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Finding the Fourth Proportional to 309.97, 463.78 and 186.12

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Solution

The fourth proportional to 309.97, 463.78 and 186.12 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 463.78 = 186.12 : x
  2. Step 2: Convert to fraction form
    309.97/463.78 = 186.12/x
  3. Step 3: Cross multiply
    309.97x = 463.78 × 186.12
  4. Step 4: Simplify right side
    309.97x = 86,318.73
  5. Step 5: Solve for x
    x = 86,318.73/309.97
  6. Step 6: Final answer
    x = 278.47

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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.