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Finding the Fourth Proportional to 185.29, 278.10 and 141.22

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Solution

The fourth proportional to 185.29, 278.10 and 141.22 is: 211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 278.10 = 141.22 : x
  2. Step 2: Convert to fraction form
    185.29/278.10 = 141.22/x
  3. Step 3: Cross multiply
    185.29x = 278.10 × 141.22
  4. Step 4: Simplify right side
    185.29x = 39,273.28
  5. Step 5: Solve for x
    x = 39,273.28/185.29
  6. Step 6: Final answer
    x = 211.96

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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.