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Finding the Fourth Proportional to 395.78, 593.75 and 121.82

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Solution

The fourth proportional to 395.78, 593.75 and 121.82 is: 182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 593.75 = 121.82 : x
  2. Step 2: Convert to fraction form
    395.78/593.75 = 121.82/x
  3. Step 3: Cross multiply
    395.78x = 593.75 × 121.82
  4. Step 4: Simplify right side
    395.78x = 72,330.02
  5. Step 5: Solve for x
    x = 72,330.02/395.78
  6. Step 6: Final answer
    x = 182.75

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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.