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Finding the Fourth Proportional to 298.26, 411.40 and 200.02

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Solution

The fourth proportional to 298.26, 411.40 and 200.02 is: 275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.26 : 411.40 = 200.02 : x
  2. Step 2: Convert to fraction form
    298.26/411.40 = 200.02/x
  3. Step 3: Cross multiply
    298.26x = 411.40 × 200.02
  4. Step 4: Simplify right side
    298.26x = 82,288.23
  5. Step 5: Solve for x
    x = 82,288.23/298.26
  6. Step 6: Final answer
    x = 275.89

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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.