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Finding the Fourth Proportional to 269.87, 372.62 and 200.00

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Solution

The fourth proportional to 269.87, 372.62 and 200.00 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.87 : 372.62 = 200.00 : x
  2. Step 2: Convert to fraction form
    269.87/372.62 = 200.00/x
  3. Step 3: Cross multiply
    269.87x = 372.62 × 200.00
  4. Step 4: Simplify right side
    269.87x = 74,525.43
  5. Step 5: Solve for x
    x = 74,525.43/269.87
  6. Step 6: Final answer
    x = 276.16

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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.