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Finding the Fourth Proportional to 395.36, 593.22 and 164.42

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Solution

The fourth proportional to 395.36, 593.22 and 164.42 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 593.22 = 164.42 : x
  2. Step 2: Convert to fraction form
    395.36/593.22 = 164.42/x
  3. Step 3: Cross multiply
    395.36x = 593.22 × 164.42
  4. Step 4: Simplify right side
    395.36x = 97,537.23
  5. Step 5: Solve for x
    x = 97,537.23/395.36
  6. Step 6: Final answer
    x = 246.70

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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.