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Finding the Fourth Proportional to 265.80, 366.28 and 200.24

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Solution

The fourth proportional to 265.80, 366.28 and 200.24 is: 275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 366.28 = 200.24 : x
  2. Step 2: Convert to fraction form
    265.80/366.28 = 200.24/x
  3. Step 3: Cross multiply
    265.80x = 366.28 × 200.24
  4. Step 4: Simplify right side
    265.80x = 73,343.91
  5. Step 5: Solve for x
    x = 73,343.91/265.80
  6. Step 6: Final answer
    x = 275.94

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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.