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Finding the Fourth Proportional to 297.17, 445.41 and 150.78

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Solution

The fourth proportional to 297.17, 445.41 and 150.78 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.17 : 445.41 = 150.78 : x
  2. Step 2: Convert to fraction form
    297.17/445.41 = 150.78/x
  3. Step 3: Cross multiply
    297.17x = 445.41 × 150.78
  4. Step 4: Simplify right side
    297.17x = 67,156.68
  5. Step 5: Solve for x
    x = 67,156.68/297.17
  6. Step 6: Final answer
    x = 225.99

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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.