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Finding the Fourth Proportional to 394.97, 592.20 and 164.02

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Solution

The fourth proportional to 394.97, 592.20 and 164.02 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.97 : 592.20 = 164.02 : x
  2. Step 2: Convert to fraction form
    394.97/592.20 = 164.02/x
  3. Step 3: Cross multiply
    394.97x = 592.20 × 164.02
  4. Step 4: Simplify right side
    394.97x = 97,131.72
  5. Step 5: Solve for x
    x = 97,131.72/394.97
  6. Step 6: Final answer
    x = 245.92

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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.