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Finding the Fourth Proportional to 228.80, 341.20 and 226.40

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Solution

The fourth proportional to 228.80, 341.20 and 226.40 is: 337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.80 : 341.20 = 226.40 : x
  2. Step 2: Convert to fraction form
    228.80/341.20 = 226.40/x
  3. Step 3: Cross multiply
    228.80x = 341.20 × 226.40
  4. Step 4: Simplify right side
    228.80x = 77,247.68
  5. Step 5: Solve for x
    x = 77,247.68/228.80
  6. Step 6: Final answer
    x = 337.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.