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Finding the Fourth Proportional to 298.38, 411.84 and 187.77

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Solution

The fourth proportional to 298.38, 411.84 and 187.77 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.38 : 411.84 = 187.77 : x
  2. Step 2: Convert to fraction form
    298.38/411.84 = 187.77/x
  3. Step 3: Cross multiply
    298.38x = 411.84 × 187.77
  4. Step 4: Simplify right side
    298.38x = 77,331.20
  5. Step 5: Solve for x
    x = 77,331.20/298.38
  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.