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Finding the Fourth Proportional to 199.29, 298.59 and 122.34

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Solution

The fourth proportional to 199.29, 298.59 and 122.34 is: 183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.29 : 298.59 = 122.34 : x
  2. Step 2: Convert to fraction form
    199.29/298.59 = 122.34/x
  3. Step 3: Cross multiply
    199.29x = 298.59 × 122.34
  4. Step 4: Simplify right side
    199.29x = 36,530.16
  5. Step 5: Solve for x
    x = 36,530.16/199.29
  6. Step 6: Final answer
    x = 183.30

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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.