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Finding the Fourth Proportional to 205.82, 284.16 and 159.11

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Solution

The fourth proportional to 205.82, 284.16 and 159.11 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.16 = 159.11 : x
  2. Step 2: Convert to fraction form
    205.82/284.16 = 159.11/x
  3. Step 3: Cross multiply
    205.82x = 284.16 × 159.11
  4. Step 4: Simplify right side
    205.82x = 45,211.28
  5. Step 5: Solve for x
    x = 45,211.28/205.82
  6. Step 6: Final answer
    x = 219.67

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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.