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Finding the Fourth Proportional to 193.56, 290.43 and 177.72

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Solution

The fourth proportional to 193.56, 290.43 and 177.72 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.56 : 290.43 = 177.72 : x
  2. Step 2: Convert to fraction form
    193.56/290.43 = 177.72/x
  3. Step 3: Cross multiply
    193.56x = 290.43 × 177.72
  4. Step 4: Simplify right side
    193.56x = 51,615.22
  5. Step 5: Solve for x
    x = 51,615.22/193.56
  6. Step 6: Final answer
    x = 266.66

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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.