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Finding the Fourth Proportional to 200.01, 297.96 and 193.97

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Solution

The fourth proportional to 200.01, 297.96 and 193.97 is: 288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.01 : 297.96 = 193.97 : x
  2. Step 2: Convert to fraction form
    200.01/297.96 = 193.97/x
  3. Step 3: Cross multiply
    200.01x = 297.96 × 193.97
  4. Step 4: Simplify right side
    200.01x = 57,792.84
  5. Step 5: Solve for x
    x = 57,792.84/200.01
  6. Step 6: Final answer
    x = 288.95

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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.