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Finding the Fourth Proportional to 298.50, 411.71 and 200.08

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Solution

The fourth proportional to 298.50, 411.71 and 200.08 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 411.71 = 200.08 : x
  2. Step 2: Convert to fraction form
    298.50/411.71 = 200.08/x
  3. Step 3: Cross multiply
    298.50x = 411.71 × 200.08
  4. Step 4: Simplify right side
    298.50x = 82,374.94
  5. Step 5: Solve for x
    x = 82,374.94/298.50
  6. Step 6: Final answer
    x = 275.96

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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.