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Finding the Fourth Proportional to 262.06, 391.59 and 200.02

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Solution

The fourth proportional to 262.06, 391.59 and 200.02 is: 298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.06 : 391.59 = 200.02 : x
  2. Step 2: Convert to fraction form
    262.06/391.59 = 200.02/x
  3. Step 3: Cross multiply
    262.06x = 391.59 × 200.02
  4. Step 4: Simplify right side
    262.06x = 78,324.83
  5. Step 5: Solve for x
    x = 78,324.83/262.06
  6. Step 6: Final answer
    x = 298.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.