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Finding the Fourth Proportional to 198.24, 295.38 and 176.69

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Solution

The fourth proportional to 198.24, 295.38 and 176.69 is: 263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 295.38 = 176.69 : x
  2. Step 2: Convert to fraction form
    198.24/295.38 = 176.69/x
  3. Step 3: Cross multiply
    198.24x = 295.38 × 176.69
  4. Step 4: Simplify right side
    198.24x = 52,188.33
  5. Step 5: Solve for x
    x = 52,188.33/198.24
  6. Step 6: Final answer
    x = 263.26

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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.