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Finding the Fourth Proportional to 198.25, 297.09 and 145.78

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Solution

The fourth proportional to 198.25, 297.09 and 145.78 is: 218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 297.09 = 145.78 : x
  2. Step 2: Convert to fraction form
    198.25/297.09 = 145.78/x
  3. Step 3: Cross multiply
    198.25x = 297.09 × 145.78
  4. Step 4: Simplify right side
    198.25x = 43,307.57
  5. Step 5: Solve for x
    x = 43,307.57/198.25
  6. Step 6: Final answer
    x = 218.45

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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.