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Finding the Fourth Proportional to 266.78, 368.06 and 163.22

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Solution

The fourth proportional to 266.78, 368.06 and 163.22 is: 225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 368.06 = 163.22 : x
  2. Step 2: Convert to fraction form
    266.78/368.06 = 163.22/x
  3. Step 3: Cross multiply
    266.78x = 368.06 × 163.22
  4. Step 4: Simplify right side
    266.78x = 60,074.75
  5. Step 5: Solve for x
    x = 60,074.75/266.78
  6. Step 6: Final answer
    x = 225.18

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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.