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Finding the Fourth Proportional to 600.19, 900.27 and 189.29

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Solution

The fourth proportional to 600.19, 900.27 and 189.29 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.19 : 900.27 = 189.29 : x
  2. Step 2: Convert to fraction form
    600.19/900.27 = 189.29/x
  3. Step 3: Cross multiply
    600.19x = 900.27 × 189.29
  4. Step 4: Simplify right side
    600.19x = 170,414.36
  5. Step 5: Solve for x
    x = 170,414.36/600.19
  6. Step 6: Final answer
    x = 283.94

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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.