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Finding the Fourth Proportional to 297.90, 446.97 and 153.54

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Solution

The fourth proportional to 297.90, 446.97 and 153.54 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.90 : 446.97 = 153.54 : x
  2. Step 2: Convert to fraction form
    297.90/446.97 = 153.54/x
  3. Step 3: Cross multiply
    297.90x = 446.97 × 153.54
  4. Step 4: Simplify right side
    297.90x = 68,627.77
  5. Step 5: Solve for x
    x = 68,627.77/297.90
  6. Step 6: Final answer
    x = 230.37

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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.