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Finding the Fourth Proportional to 471.95, 707.97 and 163.88

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Solution

The fourth proportional to 471.95, 707.97 and 163.88 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 707.97 = 163.88 : x
  2. Step 2: Convert to fraction form
    471.95/707.97 = 163.88/x
  3. Step 3: Cross multiply
    471.95x = 707.97 × 163.88
  4. Step 4: Simplify right side
    471.95x = 116,022.12
  5. Step 5: Solve for x
    x = 116,022.12/471.95
  6. Step 6: Final answer
    x = 245.84

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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.