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Finding the Fourth Proportional to 205, 283.06 and 159.24

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Solution

The fourth proportional to 205, 283.06 and 159.24 is: 219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 283.06 = 159.24 : x
  2. Step 2: Convert to fraction form
    205/283.06 = 159.24/x
  3. Step 3: Cross multiply
    205x = 283.06 × 159.24
  4. Step 4: Simplify right side
    205x = 45,074.47
  5. Step 5: Solve for x
    x = 45,074.47/205
  6. Step 6: Final answer
    x = 219.88

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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.