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Finding the Fourth Proportional to 199.12, 298.64 and 77.36

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Solution

The fourth proportional to 199.12, 298.64 and 77.36 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.12 : 298.64 = 77.36 : x
  2. Step 2: Convert to fraction form
    199.12/298.64 = 77.36/x
  3. Step 3: Cross multiply
    199.12x = 298.64 × 77.36
  4. Step 4: Simplify right side
    199.12x = 23,102.79
  5. Step 5: Solve for x
    x = 23,102.79/199.12
  6. Step 6: Final answer
    x = 116.02

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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.