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Finding the Fourth Proportional to 471.22, 706.91 and 178.85

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Solution

The fourth proportional to 471.22, 706.91 and 178.85 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.22 : 706.91 = 178.85 : x
  2. Step 2: Convert to fraction form
    471.22/706.91 = 178.85/x
  3. Step 3: Cross multiply
    471.22x = 706.91 × 178.85
  4. Step 4: Simplify right side
    471.22x = 126,431.73
  5. Step 5: Solve for x
    x = 126,431.73/471.22
  6. Step 6: Final answer
    x = 268.31

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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.