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Finding the Fourth Proportional to 200.44, 298.69 and 193.91

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Solution

The fourth proportional to 200.44, 298.69 and 193.91 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 298.69 = 193.91 : x
  2. Step 2: Convert to fraction form
    200.44/298.69 = 193.91/x
  3. Step 3: Cross multiply
    200.44x = 298.69 × 193.91
  4. Step 4: Simplify right side
    200.44x = 57,918.01
  5. Step 5: Solve for x
    x = 57,918.01/200.44
  6. Step 6: Final answer
    x = 288.96

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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.