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Finding the Fourth Proportional to 198.09, 295.59 and 177.66

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Solution

The fourth proportional to 198.09, 295.59 and 177.66 is: 265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 295.59 = 177.66 : x
  2. Step 2: Convert to fraction form
    198.09/295.59 = 177.66/x
  3. Step 3: Cross multiply
    198.09x = 295.59 × 177.66
  4. Step 4: Simplify right side
    198.09x = 52,515.19
  5. Step 5: Solve for x
    x = 52,515.19/198.09
  6. Step 6: Final answer
    x = 265.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.