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Finding the Fourth Proportional to 205.95, 284.20 and 112.70

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Solution

The fourth proportional to 205.95, 284.20 and 112.70 is: 155.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.95 : 284.20 = 112.70 : x
  2. Step 2: Convert to fraction form
    205.95/284.20 = 112.70/x
  3. Step 3: Cross multiply
    205.95x = 284.20 × 112.70
  4. Step 4: Simplify right side
    205.95x = 32,027.92
  5. Step 5: Solve for x
    x = 32,027.92/205.95
  6. Step 6: Final answer
    x = 155.51

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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.