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Finding the Fourth Proportional to 494.66, 741.34 and 186.22

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Solution

The fourth proportional to 494.66, 741.34 and 186.22 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.66 : 741.34 = 186.22 : x
  2. Step 2: Convert to fraction form
    494.66/741.34 = 186.22/x
  3. Step 3: Cross multiply
    494.66x = 741.34 × 186.22
  4. Step 4: Simplify right side
    494.66x = 138,052.33
  5. Step 5: Solve for x
    x = 138,052.33/494.66
  6. Step 6: Final answer
    x = 279.09

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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.