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Finding the Fourth Proportional to 394.81, 592.18 and 106.23

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Solution

The fourth proportional to 394.81, 592.18 and 106.23 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.81 : 592.18 = 106.23 : x
  2. Step 2: Convert to fraction form
    394.81/592.18 = 106.23/x
  3. Step 3: Cross multiply
    394.81x = 592.18 × 106.23
  4. Step 4: Simplify right side
    394.81x = 62,906.75
  5. Step 5: Solve for x
    x = 62,906.75/394.81
  6. Step 6: Final answer
    x = 159.33

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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.