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Finding the Fourth Proportional to 199.75, 299.67 and 78.02

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Solution

The fourth proportional to 199.75, 299.67 and 78.02 is: 117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.75 : 299.67 = 78.02 : x
  2. Step 2: Convert to fraction form
    199.75/299.67 = 78.02/x
  3. Step 3: Cross multiply
    199.75x = 299.67 × 78.02
  4. Step 4: Simplify right side
    199.75x = 23,378.76
  5. Step 5: Solve for x
    x = 23,378.76/199.75
  6. Step 6: Final answer
    x = 117.04

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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.