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Finding the Fourth Proportional to 266.09, 398.69 and 163.06

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Solution

The fourth proportional to 266.09, 398.69 and 163.06 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 398.69 = 163.06 : x
  2. Step 2: Convert to fraction form
    266.09/398.69 = 163.06/x
  3. Step 3: Cross multiply
    266.09x = 398.69 × 163.06
  4. Step 4: Simplify right side
    266.09x = 65,010.39
  5. Step 5: Solve for x
    x = 65,010.39/266.09
  6. Step 6: Final answer
    x = 244.32

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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.