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Finding the Fourth Proportional to 297.87, 446.82 and 202.29

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Solution

The fourth proportional to 297.87, 446.82 and 202.29 is: 303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 446.82 = 202.29 : x
  2. Step 2: Convert to fraction form
    297.87/446.82 = 202.29/x
  3. Step 3: Cross multiply
    297.87x = 446.82 × 202.29
  4. Step 4: Simplify right side
    297.87x = 90,387.22
  5. Step 5: Solve for x
    x = 90,387.22/297.87
  6. Step 6: Final answer
    x = 303.45

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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.