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Finding the Fourth Proportional to 298.28, 411.62 and 187.85

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Solution

The fourth proportional to 298.28, 411.62 and 187.85 is: 259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 411.62 = 187.85 : x
  2. Step 2: Convert to fraction form
    298.28/411.62 = 187.85/x
  3. Step 3: Cross multiply
    298.28x = 411.62 × 187.85
  4. Step 4: Simplify right side
    298.28x = 77,322.91
  5. Step 5: Solve for x
    x = 77,322.91/298.28
  6. Step 6: Final answer
    x = 259.23

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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.