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Finding the Fourth Proportional to 395.46, 593.19 and 106.89

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Solution

The fourth proportional to 395.46, 593.19 and 106.89 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.46 : 593.19 = 106.89 : x
  2. Step 2: Convert to fraction form
    395.46/593.19 = 106.89/x
  3. Step 3: Cross multiply
    395.46x = 593.19 × 106.89
  4. Step 4: Simplify right side
    395.46x = 63,406.08
  5. Step 5: Solve for x
    x = 63,406.08/395.46
  6. Step 6: Final answer
    x = 160.34

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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.