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Finding the Fourth Proportional to 268.61, 402.84 and 161.06

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Solution

The fourth proportional to 268.61, 402.84 and 161.06 is: 241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.61 : 402.84 = 161.06 : x
  2. Step 2: Convert to fraction form
    268.61/402.84 = 161.06/x
  3. Step 3: Cross multiply
    268.61x = 402.84 × 161.06
  4. Step 4: Simplify right side
    268.61x = 64,879.40
  5. Step 5: Solve for x
    x = 64,879.40/268.61
  6. Step 6: Final answer
    x = 241.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.