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Finding the Fourth Proportional to 198.53, 297.89 and 83.00

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Solution

The fourth proportional to 198.53, 297.89 and 83.00 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.53 : 297.89 = 83.00 : x
  2. Step 2: Convert to fraction form
    198.53/297.89 = 83.00/x
  3. Step 3: Cross multiply
    198.53x = 297.89 × 83.00
  4. Step 4: Simplify right side
    198.53x = 24,725.51
  5. Step 5: Solve for x
    x = 24,725.51/198.53
  6. Step 6: Final answer
    x = 124.54

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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.