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Finding the Fourth Proportional to 297.41, 445.75 and 153.05

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Solution

The fourth proportional to 297.41, 445.75 and 153.05 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.41 : 445.75 = 153.05 : x
  2. Step 2: Convert to fraction form
    297.41/445.75 = 153.05/x
  3. Step 3: Cross multiply
    297.41x = 445.75 × 153.05
  4. Step 4: Simplify right side
    297.41x = 68,222.04
  5. Step 5: Solve for x
    x = 68,222.04/297.41
  6. Step 6: Final answer
    x = 229.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.