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Finding the Fourth Proportional to 200.36, 298.85 and 194.29

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Solution

The fourth proportional to 200.36, 298.85 and 194.29 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 298.85 = 194.29 : x
  2. Step 2: Convert to fraction form
    200.36/298.85 = 194.29/x
  3. Step 3: Cross multiply
    200.36x = 298.85 × 194.29
  4. Step 4: Simplify right side
    200.36x = 58,061.10
  5. Step 5: Solve for x
    x = 58,061.10/200.36
  6. Step 6: Final answer
    x = 289.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.