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Finding the Fourth Proportional to 199.48, 275.14 and 121.84

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Solution

The fourth proportional to 199.48, 275.14 and 121.84 is: 168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.48 : 275.14 = 121.84 : x
  2. Step 2: Convert to fraction form
    199.48/275.14 = 121.84/x
  3. Step 3: Cross multiply
    199.48x = 275.14 × 121.84
  4. Step 4: Simplify right side
    199.48x = 33,523.06
  5. Step 5: Solve for x
    x = 33,523.06/199.48
  6. Step 6: Final answer
    x = 168.05

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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.