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Finding the Fourth Proportional to 200.49, 299.96 and 173.73

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Solution

The fourth proportional to 200.49, 299.96 and 173.73 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 299.96 = 173.73 : x
  2. Step 2: Convert to fraction form
    200.49/299.96 = 173.73/x
  3. Step 3: Cross multiply
    200.49x = 299.96 × 173.73
  4. Step 4: Simplify right side
    200.49x = 52,111.18
  5. Step 5: Solve for x
    x = 52,111.18/200.49
  6. Step 6: Final answer
    x = 259.92

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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.