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Finding the Fourth Proportional to 199.68, 299.46 and 69.64

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Solution

The fourth proportional to 199.68, 299.46 and 69.64 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 299.46 = 69.64 : x
  2. Step 2: Convert to fraction form
    199.68/299.46 = 69.64/x
  3. Step 3: Cross multiply
    199.68x = 299.46 × 69.64
  4. Step 4: Simplify right side
    199.68x = 20,855.20
  5. Step 5: Solve for x
    x = 20,855.20/199.68
  6. Step 6: Final answer
    x = 104.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.