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Finding the Fourth Proportional to 298.38, 411.82 and 187.78

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Solution

The fourth proportional to 298.38, 411.82 and 187.78 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.38 : 411.82 = 187.78 : x
  2. Step 2: Convert to fraction form
    298.38/411.82 = 187.78/x
  3. Step 3: Cross multiply
    298.38x = 411.82 × 187.78
  4. Step 4: Simplify right side
    298.38x = 77,331.56
  5. Step 5: Solve for x
    x = 77,331.56/298.38
  6. Step 6: Final answer
    x = 259.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.