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Finding the Fourth Proportional to 205.78, 308.52 and 165.19

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Solution

The fourth proportional to 205.78, 308.52 and 165.19 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 308.52 = 165.19 : x
  2. Step 2: Convert to fraction form
    205.78/308.52 = 165.19/x
  3. Step 3: Cross multiply
    205.78x = 308.52 × 165.19
  4. Step 4: Simplify right side
    205.78x = 50,964.42
  5. Step 5: Solve for x
    x = 50,964.42/205.78
  6. Step 6: Final answer
    x = 247.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.