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Finding the Fourth Proportional to 395.37, 593.19 and 178.80

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Solution

The fourth proportional to 395.37, 593.19 and 178.80 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.37 : 593.19 = 178.80 : x
  2. Step 2: Convert to fraction form
    395.37/593.19 = 178.80/x
  3. Step 3: Cross multiply
    395.37x = 593.19 × 178.80
  4. Step 4: Simplify right side
    395.37x = 106,062.37
  5. Step 5: Solve for x
    x = 106,062.37/395.37
  6. Step 6: Final answer
    x = 268.26

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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.