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Finding the Fourth Proportional to 254.27, 350.86 and 161.07

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Solution

The fourth proportional to 254.27, 350.86 and 161.07 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.27 : 350.86 = 161.07 : x
  2. Step 2: Convert to fraction form
    254.27/350.86 = 161.07/x
  3. Step 3: Cross multiply
    254.27x = 350.86 × 161.07
  4. Step 4: Simplify right side
    254.27x = 56,513.02
  5. Step 5: Solve for x
    x = 56,513.02/254.27
  6. Step 6: Final answer
    x = 222.26

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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.