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Finding the Fourth Proportional to 198.49, 297.73 and 52.23

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Solution

The fourth proportional to 198.49, 297.73 and 52.23 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 297.73 = 52.23 : x
  2. Step 2: Convert to fraction form
    198.49/297.73 = 52.23/x
  3. Step 3: Cross multiply
    198.49x = 297.73 × 52.23
  4. Step 4: Simplify right side
    198.49x = 15,549.35
  5. Step 5: Solve for x
    x = 15,549.35/198.49
  6. Step 6: Final answer
    x = 78.34

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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.