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Finding the Fourth Proportional to 254.19, 350.84 and 161.06

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Solution

The fourth proportional to 254.19, 350.84 and 161.06 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 350.84 = 161.06 : x
  2. Step 2: Convert to fraction form
    254.19/350.84 = 161.06/x
  3. Step 3: Cross multiply
    254.19x = 350.84 × 161.06
  4. Step 4: Simplify right side
    254.19x = 56,507.62
  5. Step 5: Solve for x
    x = 56,507.62/254.19
  6. Step 6: Final answer
    x = 222.30

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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.