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Finding the Fourth Proportional to 265.56, 366.28 and 195.76

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Solution

The fourth proportional to 265.56, 366.28 and 195.76 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.56 : 366.28 = 195.76 : x
  2. Step 2: Convert to fraction form
    265.56/366.28 = 195.76/x
  3. Step 3: Cross multiply
    265.56x = 366.28 × 195.76
  4. Step 4: Simplify right side
    265.56x = 71,702.97
  5. Step 5: Solve for x
    x = 71,702.97/265.56
  6. Step 6: Final answer
    x = 270.01

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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.