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Finding the Fourth Proportional to 205.52, 308.05 and 144.63

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Solution

The fourth proportional to 205.52, 308.05 and 144.63 is: 216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 308.05 = 144.63 : x
  2. Step 2: Convert to fraction form
    205.52/308.05 = 144.63/x
  3. Step 3: Cross multiply
    205.52x = 308.05 × 144.63
  4. Step 4: Simplify right side
    205.52x = 44,552.55
  5. Step 5: Solve for x
    x = 44,552.55/205.52
  6. Step 6: Final answer
    x = 216.78

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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.