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Finding the Fourth Proportional to 198.59, 298.01 and 117.52

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Solution

The fourth proportional to 198.59, 298.01 and 117.52 is: 176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 298.01 = 117.52 : x
  2. Step 2: Convert to fraction form
    198.59/298.01 = 117.52/x
  3. Step 3: Cross multiply
    198.59x = 298.01 × 117.52
  4. Step 4: Simplify right side
    198.59x = 35,021.68
  5. Step 5: Solve for x
    x = 35,021.68/198.59
  6. Step 6: Final answer
    x = 176.36

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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.