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Finding the Fourth Proportional to 185.69, 278.13 and 168.59

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Solution

The fourth proportional to 185.69, 278.13 and 168.59 is: 252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 278.13 = 168.59 : x
  2. Step 2: Convert to fraction form
    185.69/278.13 = 168.59/x
  3. Step 3: Cross multiply
    185.69x = 278.13 × 168.59
  4. Step 4: Simplify right side
    185.69x = 46,889.94
  5. Step 5: Solve for x
    x = 46,889.94/185.69
  6. Step 6: Final answer
    x = 252.52

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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.