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Finding the Fourth Proportional to 198.07, 297.06 and 89.83

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Solution

The fourth proportional to 198.07, 297.06 and 89.83 is: 134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 297.06 = 89.83 : x
  2. Step 2: Convert to fraction form
    198.07/297.06 = 89.83/x
  3. Step 3: Cross multiply
    198.07x = 297.06 × 89.83
  4. Step 4: Simplify right side
    198.07x = 26,684.16
  5. Step 5: Solve for x
    x = 26,684.16/198.07
  6. Step 6: Final answer
    x = 134.72

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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.