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Finding the Fourth Proportional to 198.57, 296.13 and 174.33

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Solution

The fourth proportional to 198.57, 296.13 and 174.33 is: 259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.57 : 296.13 = 174.33 : x
  2. Step 2: Convert to fraction form
    198.57/296.13 = 174.33/x
  3. Step 3: Cross multiply
    198.57x = 296.13 × 174.33
  4. Step 4: Simplify right side
    198.57x = 51,624.34
  5. Step 5: Solve for x
    x = 51,624.34/198.57
  6. Step 6: Final answer
    x = 259.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.