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Finding the Fourth Proportional to 395.67, 593.42 and 121.75

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Solution

The fourth proportional to 395.67, 593.42 and 121.75 is: 182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.67 : 593.42 = 121.75 : x
  2. Step 2: Convert to fraction form
    395.67/593.42 = 121.75/x
  3. Step 3: Cross multiply
    395.67x = 593.42 × 121.75
  4. Step 4: Simplify right side
    395.67x = 72,248.89
  5. Step 5: Solve for x
    x = 72,248.89/395.67
  6. Step 6: Final answer
    x = 182.60

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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.