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Finding the Fourth Proportional to 200.36, 298.84 and 194.28

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Solution

The fourth proportional to 200.36, 298.84 and 194.28 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 298.84 = 194.28 : x
  2. Step 2: Convert to fraction form
    200.36/298.84 = 194.28/x
  3. Step 3: Cross multiply
    200.36x = 298.84 × 194.28
  4. Step 4: Simplify right side
    200.36x = 58,058.64
  5. Step 5: Solve for x
    x = 58,058.64/200.36
  6. Step 6: Final answer
    x = 289.77

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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.