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Finding the Fourth Proportional to 269.91, 372.56 and 200.07

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Solution

The fourth proportional to 269.91, 372.56 and 200.07 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.91 : 372.56 = 200.07 : x
  2. Step 2: Convert to fraction form
    269.91/372.56 = 200.07/x
  3. Step 3: Cross multiply
    269.91x = 372.56 × 200.07
  4. Step 4: Simplify right side
    269.91x = 74,537.08
  5. Step 5: Solve for x
    x = 74,537.08/269.91
  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.