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Finding the Fourth Proportional to 194.58, 290.66 and 165.56

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Solution

The fourth proportional to 194.58, 290.66 and 165.56 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 290.66 = 165.56 : x
  2. Step 2: Convert to fraction form
    194.58/290.66 = 165.56/x
  3. Step 3: Cross multiply
    194.58x = 290.66 × 165.56
  4. Step 4: Simplify right side
    194.58x = 48,119.39
  5. Step 5: Solve for x
    x = 48,119.39/194.58
  6. Step 6: Final answer
    x = 247.30

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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.