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Finding the Fourth Proportional to 228.78, 343.10 and 192.23

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Solution

The fourth proportional to 228.78, 343.10 and 192.23 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 343.10 = 192.23 : x
  2. Step 2: Convert to fraction form
    228.78/343.10 = 192.23/x
  3. Step 3: Cross multiply
    228.78x = 343.10 × 192.23
  4. Step 4: Simplify right side
    228.78x = 65,951.44
  5. Step 5: Solve for x
    x = 65,951.44/228.78
  6. Step 6: Final answer
    x = 288.27

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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.