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Finding the Fourth Proportional to 198.55, 295.82 and 186.13

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Solution

The fourth proportional to 198.55, 295.82 and 186.13 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 295.82 = 186.13 : x
  2. Step 2: Convert to fraction form
    198.55/295.82 = 186.13/x
  3. Step 3: Cross multiply
    198.55x = 295.82 × 186.13
  4. Step 4: Simplify right side
    198.55x = 55,059.50
  5. Step 5: Solve for x
    x = 55,059.50/198.55
  6. Step 6: Final answer
    x = 277.31

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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.