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Finding the Fourth Proportional to 394.82, 592.24 and 106.26

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Solution

The fourth proportional to 394.82, 592.24 and 106.26 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.82 : 592.24 = 106.26 : x
  2. Step 2: Convert to fraction form
    394.82/592.24 = 106.26/x
  3. Step 3: Cross multiply
    394.82x = 592.24 × 106.26
  4. Step 4: Simplify right side
    394.82x = 62,931.42
  5. Step 5: Solve for x
    x = 62,931.42/394.82
  6. Step 6: Final answer
    x = 159.39

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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.