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Finding the Fourth Proportional to 600.80, 901.18 and 189.97

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Solution

The fourth proportional to 600.80, 901.18 and 189.97 is: 284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 901.18 = 189.97 : x
  2. Step 2: Convert to fraction form
    600.80/901.18 = 189.97/x
  3. Step 3: Cross multiply
    600.80x = 901.18 × 189.97
  4. Step 4: Simplify right side
    600.80x = 171,194.44
  5. Step 5: Solve for x
    x = 171,194.44/600.80
  6. Step 6: Final answer
    x = 284.94

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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.