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Finding the Fourth Proportional to 185.29, 255.39 and 145.83

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Solution

The fourth proportional to 185.29, 255.39 and 145.83 is: 201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 255.39 = 145.83 : x
  2. Step 2: Convert to fraction form
    185.29/255.39 = 145.83/x
  3. Step 3: Cross multiply
    185.29x = 255.39 × 145.83
  4. Step 4: Simplify right side
    185.29x = 37,243.93
  5. Step 5: Solve for x
    x = 37,243.93/185.29
  6. Step 6: Final answer
    x = 201.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.