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Finding the Fourth Proportional to 198.69, 297.75 and 90.24

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Solution

The fourth proportional to 198.69, 297.75 and 90.24 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 297.75 = 90.24 : x
  2. Step 2: Convert to fraction form
    198.69/297.75 = 90.24/x
  3. Step 3: Cross multiply
    198.69x = 297.75 × 90.24
  4. Step 4: Simplify right side
    198.69x = 26,868.96
  5. Step 5: Solve for x
    x = 26,868.96/198.69
  6. Step 6: Final answer
    x = 135.23

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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.