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Finding the Fourth Proportional to 199.26, 298.94 and 77.53

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Solution

The fourth proportional to 199.26, 298.94 and 77.53 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 298.94 = 77.53 : x
  2. Step 2: Convert to fraction form
    199.26/298.94 = 77.53/x
  3. Step 3: Cross multiply
    199.26x = 298.94 × 77.53
  4. Step 4: Simplify right side
    199.26x = 23,176.82
  5. Step 5: Solve for x
    x = 23,176.82/199.26
  6. Step 6: Final answer
    x = 116.31

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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.