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Finding the Fourth Proportional to 297.82, 446.80 and 153.50

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Solution

The fourth proportional to 297.82, 446.80 and 153.50 is: 230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.82 : 446.80 = 153.50 : x
  2. Step 2: Convert to fraction form
    297.82/446.80 = 153.50/x
  3. Step 3: Cross multiply
    297.82x = 446.80 × 153.50
  4. Step 4: Simplify right side
    297.82x = 68,583.80
  5. Step 5: Solve for x
    x = 68,583.80/297.82
  6. Step 6: Final answer
    x = 230.29

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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.