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Finding the Fourth Proportional to 395.06, 592.56 and 163.86

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Solution

The fourth proportional to 395.06, 592.56 and 163.86 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 592.56 = 163.86 : x
  2. Step 2: Convert to fraction form
    395.06/592.56 = 163.86/x
  3. Step 3: Cross multiply
    395.06x = 592.56 × 163.86
  4. Step 4: Simplify right side
    395.06x = 97,096.06
  5. Step 5: Solve for x
    x = 97,096.06/395.06
  6. Step 6: Final answer
    x = 245.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.