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Finding the Fourth Proportional to 297.60, 445.96 and 114.88

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Solution

The fourth proportional to 297.60, 445.96 and 114.88 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 445.96 = 114.88 : x
  2. Step 2: Convert to fraction form
    297.60/445.96 = 114.88/x
  3. Step 3: Cross multiply
    297.60x = 445.96 × 114.88
  4. Step 4: Simplify right side
    297.60x = 51,231.88
  5. Step 5: Solve for x
    x = 51,231.88/297.60
  6. Step 6: Final answer
    x = 172.15

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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.