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Finding the Fourth Proportional to 193.11, 290.01 and 177.66

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Solution

The fourth proportional to 193.11, 290.01 and 177.66 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 290.01 = 177.66 : x
  2. Step 2: Convert to fraction form
    193.11/290.01 = 177.66/x
  3. Step 3: Cross multiply
    193.11x = 290.01 × 177.66
  4. Step 4: Simplify right side
    193.11x = 51,521.28
  5. Step 5: Solve for x
    x = 51,521.28/193.11
  6. Step 6: Final answer
    x = 266.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.