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Finding the Fourth Proportional to 600.74, 901.22 and 189.92

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Solution

The fourth proportional to 600.74, 901.22 and 189.92 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.74 : 901.22 = 189.92 : x
  2. Step 2: Convert to fraction form
    600.74/901.22 = 189.92/x
  3. Step 3: Cross multiply
    600.74x = 901.22 × 189.92
  4. Step 4: Simplify right side
    600.74x = 171,159.70
  5. Step 5: Solve for x
    x = 171,159.70/600.74
  6. Step 6: Final answer
    x = 284.91

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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.