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Finding the Fourth Proportional to 471.11, 706.67 and 162.96

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Solution

The fourth proportional to 471.11, 706.67 and 162.96 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.11 : 706.67 = 162.96 : x
  2. Step 2: Convert to fraction form
    471.11/706.67 = 162.96/x
  3. Step 3: Cross multiply
    471.11x = 706.67 × 162.96
  4. Step 4: Simplify right side
    471.11x = 115,158.13
  5. Step 5: Solve for x
    x = 115,158.13/471.11
  6. Step 6: Final answer
    x = 244.44

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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.