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Finding the Fourth Proportional to 395.28, 593.04 and 178.80

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Solution

The fourth proportional to 395.28, 593.04 and 178.80 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.28 : 593.04 = 178.80 : x
  2. Step 2: Convert to fraction form
    395.28/593.04 = 178.80/x
  3. Step 3: Cross multiply
    395.28x = 593.04 × 178.80
  4. Step 4: Simplify right side
    395.28x = 106,035.55
  5. Step 5: Solve for x
    x = 106,035.55/395.28
  6. Step 6: Final answer
    x = 268.25

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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.