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Finding the Fourth Proportional to 205.77, 284.27 and 159.27

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Solution

The fourth proportional to 205.77, 284.27 and 159.27 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 284.27 = 159.27 : x
  2. Step 2: Convert to fraction form
    205.77/284.27 = 159.27/x
  3. Step 3: Cross multiply
    205.77x = 284.27 × 159.27
  4. Step 4: Simplify right side
    205.77x = 45,275.68
  5. Step 5: Solve for x
    x = 45,275.68/205.77
  6. Step 6: Final answer
    x = 220.03

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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.