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Finding the Fourth Proportional to 198.54, 298.02 and 175.86

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Solution

The fourth proportional to 198.54, 298.02 and 175.86 is: 263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 298.02 = 175.86 : x
  2. Step 2: Convert to fraction form
    198.54/298.02 = 175.86/x
  3. Step 3: Cross multiply
    198.54x = 298.02 × 175.86
  4. Step 4: Simplify right side
    198.54x = 52,409.80
  5. Step 5: Solve for x
    x = 52,409.80/198.54
  6. Step 6: Final answer
    x = 263.98

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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.