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Finding the Fourth Proportional to 199.55, 299.16 and 77.75

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Solution

The fourth proportional to 199.55, 299.16 and 77.75 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.55 : 299.16 = 77.75 : x
  2. Step 2: Convert to fraction form
    199.55/299.16 = 77.75/x
  3. Step 3: Cross multiply
    199.55x = 299.16 × 77.75
  4. Step 4: Simplify right side
    199.55x = 23,259.69
  5. Step 5: Solve for x
    x = 23,259.69/199.55
  6. Step 6: Final answer
    x = 116.56

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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.