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Finding the Fourth Proportional to 265.75, 366.60 and 200.23

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Solution

The fourth proportional to 265.75, 366.60 and 200.23 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.75 : 366.60 = 200.23 : x
  2. Step 2: Convert to fraction form
    265.75/366.60 = 200.23/x
  3. Step 3: Cross multiply
    265.75x = 366.60 × 200.23
  4. Step 4: Simplify right side
    265.75x = 73,404.32
  5. Step 5: Solve for x
    x = 73,404.32/265.75
  6. Step 6: Final answer
    x = 276.22

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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.