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Finding the Fourth Proportional to 254.66, 351.20 and 161.30

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Solution

The fourth proportional to 254.66, 351.20 and 161.30 is: 222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 351.20 = 161.30 : x
  2. Step 2: Convert to fraction form
    254.66/351.20 = 161.30/x
  3. Step 3: Cross multiply
    254.66x = 351.20 × 161.30
  4. Step 4: Simplify right side
    254.66x = 56,648.56
  5. Step 5: Solve for x
    x = 56,648.56/254.66
  6. Step 6: Final answer
    x = 222.45

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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.