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Finding the Fourth Proportional to 227.40, 341.13 and 103.94

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Solution

The fourth proportional to 227.40, 341.13 and 103.94 is: 155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 341.13 = 103.94 : x
  2. Step 2: Convert to fraction form
    227.40/341.13 = 103.94/x
  3. Step 3: Cross multiply
    227.40x = 341.13 × 103.94
  4. Step 4: Simplify right side
    227.40x = 35,457.05
  5. Step 5: Solve for x
    x = 35,457.05/227.40
  6. Step 6: Final answer
    x = 155.92

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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.