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Finding the Fourth Proportional to 254.42, 351.24 and 161.24

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Solution

The fourth proportional to 254.42, 351.24 and 161.24 is: 222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 351.24 = 161.24 : x
  2. Step 2: Convert to fraction form
    254.42/351.24 = 161.24/x
  3. Step 3: Cross multiply
    254.42x = 351.24 × 161.24
  4. Step 4: Simplify right side
    254.42x = 56,632.18
  5. Step 5: Solve for x
    x = 56,632.18/254.42
  6. Step 6: Final answer
    x = 222.60

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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.