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Finding the Fourth Proportional to 199, 298.54 and 77.26

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Solution

The fourth proportional to 199, 298.54 and 77.26 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 298.54 = 77.26 : x
  2. Step 2: Convert to fraction form
    199/298.54 = 77.26/x
  3. Step 3: Cross multiply
    199x = 298.54 × 77.26
  4. Step 4: Simplify right side
    199x = 23,066.14
  5. Step 5: Solve for x
    x = 23,066.14/199
  6. Step 6: Final answer
    x = 115.91

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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.