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Finding the Fourth Proportional to 199.34, 275 and 121.76

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Solution

The fourth proportional to 199.34, 275 and 121.76 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 275 = 121.76 : x
  2. Step 2: Convert to fraction form
    199.34/275 = 121.76/x
  3. Step 3: Cross multiply
    199.34x = 275 × 121.76
  4. Step 4: Simplify right side
    199.34x = 33,484
  5. Step 5: Solve for x
    x = 33,484/199.34
  6. Step 6: Final answer
    x = 167.97

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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.