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Finding the Fourth Proportional to 228.22, 341.92 and 163.11

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Solution

The fourth proportional to 228.22, 341.92 and 163.11 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 341.92 = 163.11 : x
  2. Step 2: Convert to fraction form
    228.22/341.92 = 163.11/x
  3. Step 3: Cross multiply
    228.22x = 341.92 × 163.11
  4. Step 4: Simplify right side
    228.22x = 55,772.06
  5. Step 5: Solve for x
    x = 55,772.06/228.22
  6. Step 6: Final answer
    x = 244.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.