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Finding the Fourth Proportional to 228.72, 343.03 and 74.61

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Solution

The fourth proportional to 228.72, 343.03 and 74.61 is: 111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 343.03 = 74.61 : x
  2. Step 2: Convert to fraction form
    228.72/343.03 = 74.61/x
  3. Step 3: Cross multiply
    228.72x = 343.03 × 74.61
  4. Step 4: Simplify right side
    228.72x = 25,593.47
  5. Step 5: Solve for x
    x = 25,593.47/228.72
  6. Step 6: Final answer
    x = 111.90

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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.