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Finding the Fourth Proportional to 323.18, 446.08 and 199.01

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Solution

The fourth proportional to 323.18, 446.08 and 199.01 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.18 : 446.08 = 199.01 : x
  2. Step 2: Convert to fraction form
    323.18/446.08 = 199.01/x
  3. Step 3: Cross multiply
    323.18x = 446.08 × 199.01
  4. Step 4: Simplify right side
    323.18x = 88,775.00
  5. Step 5: Solve for x
    x = 88,775.00/323.18
  6. Step 6: Final answer
    x = 274.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.