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Finding the Fourth Proportional to 265.67, 366.49 and 200.26

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Solution

The fourth proportional to 265.67, 366.49 and 200.26 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.67 : 366.49 = 200.26 : x
  2. Step 2: Convert to fraction form
    265.67/366.49 = 200.26/x
  3. Step 3: Cross multiply
    265.67x = 366.49 × 200.26
  4. Step 4: Simplify right side
    265.67x = 73,393.29
  5. Step 5: Solve for x
    x = 73,393.29/265.67
  6. Step 6: Final answer
    x = 276.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.