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Finding the Fourth Proportional to 265.60, 366.89 and 199.59

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Solution

The fourth proportional to 265.60, 366.89 and 199.59 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.60 : 366.89 = 199.59 : x
  2. Step 2: Convert to fraction form
    265.60/366.89 = 199.59/x
  3. Step 3: Cross multiply
    265.60x = 366.89 × 199.59
  4. Step 4: Simplify right side
    265.60x = 73,227.58
  5. Step 5: Solve for x
    x = 73,227.58/265.60
  6. Step 6: Final answer
    x = 275.71

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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.