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Finding the Fourth Proportional to 198.01, 295.67 and 177.31

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Solution

The fourth proportional to 198.01, 295.67 and 177.31 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.01 : 295.67 = 177.31 : x
  2. Step 2: Convert to fraction form
    198.01/295.67 = 177.31/x
  3. Step 3: Cross multiply
    198.01x = 295.67 × 177.31
  4. Step 4: Simplify right side
    198.01x = 52,425.25
  5. Step 5: Solve for x
    x = 52,425.25/198.01
  6. Step 6: Final answer
    x = 264.76

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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.