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Finding the Fourth Proportional to 297.27, 445.92 and 114.63

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Solution

The fourth proportional to 297.27, 445.92 and 114.63 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.27 : 445.92 = 114.63 : x
  2. Step 2: Convert to fraction form
    297.27/445.92 = 114.63/x
  3. Step 3: Cross multiply
    297.27x = 445.92 × 114.63
  4. Step 4: Simplify right side
    297.27x = 51,115.81
  5. Step 5: Solve for x
    x = 51,115.81/297.27
  6. Step 6: Final answer
    x = 171.95

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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.