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Finding the Fourth Proportional to 298.02, 410.85 and 199.56

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Solution

The fourth proportional to 298.02, 410.85 and 199.56 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 410.85 = 199.56 : x
  2. Step 2: Convert to fraction form
    298.02/410.85 = 199.56/x
  3. Step 3: Cross multiply
    298.02x = 410.85 × 199.56
  4. Step 4: Simplify right side
    298.02x = 81,989.23
  5. Step 5: Solve for x
    x = 81,989.23/298.02
  6. Step 6: Final answer
    x = 275.11

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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.