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Finding the Fourth Proportional to 395.71, 593.64 and 121.78

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Solution

The fourth proportional to 395.71, 593.64 and 121.78 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.71 : 593.64 = 121.78 : x
  2. Step 2: Convert to fraction form
    395.71/593.64 = 121.78/x
  3. Step 3: Cross multiply
    395.71x = 593.64 × 121.78
  4. Step 4: Simplify right side
    395.71x = 72,289.90
  5. Step 5: Solve for x
    x = 72,289.90/395.71
  6. Step 6: Final answer
    x = 182.68

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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.