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Finding the Fourth Proportional to 297.49, 446.23 and 135.13

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Solution

The fourth proportional to 297.49, 446.23 and 135.13 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.49 : 446.23 = 135.13 : x
  2. Step 2: Convert to fraction form
    297.49/446.23 = 135.13/x
  3. Step 3: Cross multiply
    297.49x = 446.23 × 135.13
  4. Step 4: Simplify right side
    297.49x = 60,299.06
  5. Step 5: Solve for x
    x = 60,299.06/297.49
  6. Step 6: Final answer
    x = 202.69

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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.