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Finding the Fourth Proportional to 395.96, 593.96 and 122.10

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Solution

The fourth proportional to 395.96, 593.96 and 122.10 is: 183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 593.96 = 122.10 : x
  2. Step 2: Convert to fraction form
    395.96/593.96 = 122.10/x
  3. Step 3: Cross multiply
    395.96x = 593.96 × 122.10
  4. Step 4: Simplify right side
    395.96x = 72,522.52
  5. Step 5: Solve for x
    x = 72,522.52/395.96
  6. Step 6: Final answer
    x = 183.16

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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.