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Finding the Fourth Proportional to 254.18, 350.84 and 160.97

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Solution

The fourth proportional to 254.18, 350.84 and 160.97 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.18 : 350.84 = 160.97 : x
  2. Step 2: Convert to fraction form
    254.18/350.84 = 160.97/x
  3. Step 3: Cross multiply
    254.18x = 350.84 × 160.97
  4. Step 4: Simplify right side
    254.18x = 56,473.91
  5. Step 5: Solve for x
    x = 56,473.91/254.18
  6. Step 6: Final answer
    x = 222.18

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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.