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Finding the Fourth Proportional to 199.68, 275.76 and 173.33

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Solution

The fourth proportional to 199.68, 275.76 and 173.33 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 275.76 = 173.33 : x
  2. Step 2: Convert to fraction form
    199.68/275.76 = 173.33/x
  3. Step 3: Cross multiply
    199.68x = 275.76 × 173.33
  4. Step 4: Simplify right side
    199.68x = 47,797.48
  5. Step 5: Solve for x
    x = 47,797.48/199.68
  6. Step 6: Final answer
    x = 239.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.