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Finding the Fourth Proportional to 205.70, 284.53 and 167.78

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Solution

The fourth proportional to 205.70, 284.53 and 167.78 is: 232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 284.53 = 167.78 : x
  2. Step 2: Convert to fraction form
    205.70/284.53 = 167.78/x
  3. Step 3: Cross multiply
    205.70x = 284.53 × 167.78
  4. Step 4: Simplify right side
    205.70x = 47,738.44
  5. Step 5: Solve for x
    x = 47,738.44/205.70
  6. Step 6: Final answer
    x = 232.08

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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.