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Finding the Fourth Proportional to 395.31, 593.07 and 164.21

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Solution

The fourth proportional to 395.31, 593.07 and 164.21 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 593.07 = 164.21 : x
  2. Step 2: Convert to fraction form
    395.31/593.07 = 164.21/x
  3. Step 3: Cross multiply
    395.31x = 593.07 × 164.21
  4. Step 4: Simplify right side
    395.31x = 97,388.02
  5. Step 5: Solve for x
    x = 97,388.02/395.31
  6. Step 6: Final answer
    x = 246.36

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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.