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Finding the Fourth Proportional to 205.28, 283.28 and 115.55

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Solution

The fourth proportional to 205.28, 283.28 and 115.55 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 283.28 = 115.55 : x
  2. Step 2: Convert to fraction form
    205.28/283.28 = 115.55/x
  3. Step 3: Cross multiply
    205.28x = 283.28 × 115.55
  4. Step 4: Simplify right side
    205.28x = 32,733.13
  5. Step 5: Solve for x
    x = 32,733.13/205.28
  6. Step 6: Final answer
    x = 159.45

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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.