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Finding the Fourth Proportional to 472.06, 708.06 and 163.92

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Solution

The fourth proportional to 472.06, 708.06 and 163.92 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 708.06 = 163.92 : x
  2. Step 2: Convert to fraction form
    472.06/708.06 = 163.92/x
  3. Step 3: Cross multiply
    472.06x = 708.06 × 163.92
  4. Step 4: Simplify right side
    472.06x = 116,065.20
  5. Step 5: Solve for x
    x = 116,065.20/472.06
  6. Step 6: Final answer
    x = 245.87

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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.