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Finding the Fourth Proportional to 228.79, 342.73 and 199.56

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Solution

The fourth proportional to 228.79, 342.73 and 199.56 is: 298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.79 : 342.73 = 199.56 : x
  2. Step 2: Convert to fraction form
    228.79/342.73 = 199.56/x
  3. Step 3: Cross multiply
    228.79x = 342.73 × 199.56
  4. Step 4: Simplify right side
    228.79x = 68,394.20
  5. Step 5: Solve for x
    x = 68,394.20/228.79
  6. Step 6: Final answer
    x = 298.95

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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.