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Finding the Fourth Proportional to 205.85, 284.30 and 159.78

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Solution

The fourth proportional to 205.85, 284.30 and 159.78 is: 220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.85 : 284.30 = 159.78 : x
  2. Step 2: Convert to fraction form
    205.85/284.30 = 159.78/x
  3. Step 3: Cross multiply
    205.85x = 284.30 × 159.78
  4. Step 4: Simplify right side
    205.85x = 45,423.23
  5. Step 5: Solve for x
    x = 45,423.23/205.85
  6. Step 6: Final answer
    x = 220.67

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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.