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Finding the Fourth Proportional to 265.72, 366.42 and 200.11

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Solution

The fourth proportional to 265.72, 366.42 and 200.11 is: 275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.72 : 366.42 = 200.11 : x
  2. Step 2: Convert to fraction form
    265.72/366.42 = 200.11/x
  3. Step 3: Cross multiply
    265.72x = 366.42 × 200.11
  4. Step 4: Simplify right side
    265.72x = 73,324.31
  5. Step 5: Solve for x
    x = 73,324.31/265.72
  6. Step 6: Final answer
    x = 275.95

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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.