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Finding the Fourth Proportional to 297.30, 446.49 and 153.30

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Solution

The fourth proportional to 297.30, 446.49 and 153.30 is: 230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 446.49 = 153.30 : x
  2. Step 2: Convert to fraction form
    297.30/446.49 = 153.30/x
  3. Step 3: Cross multiply
    297.30x = 446.49 × 153.30
  4. Step 4: Simplify right side
    297.30x = 68,446.92
  5. Step 5: Solve for x
    x = 68,446.92/297.30
  6. Step 6: Final answer
    x = 230.23

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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.