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Finding the Fourth Proportional to 297.48, 446.22 and 153.21

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Solution

The fourth proportional to 297.48, 446.22 and 153.21 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.48 : 446.22 = 153.21 : x
  2. Step 2: Convert to fraction form
    297.48/446.22 = 153.21/x
  3. Step 3: Cross multiply
    297.48x = 446.22 × 153.21
  4. Step 4: Simplify right side
    297.48x = 68,365.37
  5. Step 5: Solve for x
    x = 68,365.37/297.48
  6. Step 6: Final answer
    x = 229.82

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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.