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Finding the Fourth Proportional to 472.12, 707.94 and 163.96

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Solution

The fourth proportional to 472.12, 707.94 and 163.96 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.12 : 707.94 = 163.96 : x
  2. Step 2: Convert to fraction form
    472.12/707.94 = 163.96/x
  3. Step 3: Cross multiply
    472.12x = 707.94 × 163.96
  4. Step 4: Simplify right side
    472.12x = 116,073.84
  5. Step 5: Solve for x
    x = 116,073.84/472.12
  6. Step 6: Final answer
    x = 245.86

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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.