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Finding the Fourth Proportional to 265.27, 366.30 and 203.71

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Solution

The fourth proportional to 265.27, 366.30 and 203.71 is: 281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.27 : 366.30 = 203.71 : x
  2. Step 2: Convert to fraction form
    265.27/366.30 = 203.71/x
  3. Step 3: Cross multiply
    265.27x = 366.30 × 203.71
  4. Step 4: Simplify right side
    265.27x = 74,618.06
  5. Step 5: Solve for x
    x = 74,618.06/265.27
  6. Step 6: Final answer
    x = 281.29

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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.