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Finding the Fourth Proportional to 185.13, 276.43 and 163

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Solution

The fourth proportional to 185.13, 276.43 and 163 is: 243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 276.43 = 163 : x
  2. Step 2: Convert to fraction form
    185.13/276.43 = 163/x
  3. Step 3: Cross multiply
    185.13x = 276.43 × 163
  4. Step 4: Simplify right side
    185.13x = 45,058.09
  5. Step 5: Solve for x
    x = 45,058.09/185.13
  6. Step 6: Final answer
    x = 243.39

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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.