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Finding the Fourth Proportional to 314.26, 471.21 and 121.66

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Solution

The fourth proportional to 314.26, 471.21 and 121.66 is: 182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 471.21 = 121.66 : x
  2. Step 2: Convert to fraction form
    314.26/471.21 = 121.66/x
  3. Step 3: Cross multiply
    314.26x = 471.21 × 121.66
  4. Step 4: Simplify right side
    314.26x = 57,327.41
  5. Step 5: Solve for x
    x = 57,327.41/314.26
  6. Step 6: Final answer
    x = 182.42

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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.