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Finding the Fourth Proportional to 298.01, 411.59 and 199.59

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Solution

The fourth proportional to 298.01, 411.59 and 199.59 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.01 : 411.59 = 199.59 : x
  2. Step 2: Convert to fraction form
    298.01/411.59 = 199.59/x
  3. Step 3: Cross multiply
    298.01x = 411.59 × 199.59
  4. Step 4: Simplify right side
    298.01x = 82,149.25
  5. Step 5: Solve for x
    x = 82,149.25/298.01
  6. Step 6: Final answer
    x = 275.66

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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.