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Finding the Fourth Proportional to 471.26, 706.94 and 178.67

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Solution

The fourth proportional to 471.26, 706.94 and 178.67 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.26 : 706.94 = 178.67 : x
  2. Step 2: Convert to fraction form
    471.26/706.94 = 178.67/x
  3. Step 3: Cross multiply
    471.26x = 706.94 × 178.67
  4. Step 4: Simplify right side
    471.26x = 126,304.54
  5. Step 5: Solve for x
    x = 126,304.54/471.26
  6. Step 6: Final answer
    x = 268.02

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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.