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Finding the Fourth Proportional to 254.38, 351.03 and 161.11

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Solution

The fourth proportional to 254.38, 351.03 and 161.11 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.38 : 351.03 = 161.11 : x
  2. Step 2: Convert to fraction form
    254.38/351.03 = 161.11/x
  3. Step 3: Cross multiply
    254.38x = 351.03 × 161.11
  4. Step 4: Simplify right side
    254.38x = 56,554.44
  5. Step 5: Solve for x
    x = 56,554.44/254.38
  6. Step 6: Final answer
    x = 222.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.