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Finding the Fourth Proportional to 198.26, 295.89 and 176.38

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Solution

The fourth proportional to 198.26, 295.89 and 176.38 is: 263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.26 : 295.89 = 176.38 : x
  2. Step 2: Convert to fraction form
    198.26/295.89 = 176.38/x
  3. Step 3: Cross multiply
    198.26x = 295.89 × 176.38
  4. Step 4: Simplify right side
    198.26x = 52,189.08
  5. Step 5: Solve for x
    x = 52,189.08/198.26
  6. Step 6: Final answer
    x = 263.24

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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.