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Finding the Fourth Proportional to 228.92, 315.72 and 201.23

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Solution

The fourth proportional to 228.92, 315.72 and 201.23 is: 277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 315.72 = 201.23 : x
  2. Step 2: Convert to fraction form
    228.92/315.72 = 201.23/x
  3. Step 3: Cross multiply
    228.92x = 315.72 × 201.23
  4. Step 4: Simplify right side
    228.92x = 63,532.05
  5. Step 5: Solve for x
    x = 63,532.05/228.92
  6. Step 6: Final answer
    x = 277.53

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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.