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Finding the Fourth Proportional to 185.36, 255.80 and 146.33

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Solution

The fourth proportional to 185.36, 255.80 and 146.33 is: 201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.36 : 255.80 = 146.33 : x
  2. Step 2: Convert to fraction form
    185.36/255.80 = 146.33/x
  3. Step 3: Cross multiply
    185.36x = 255.80 × 146.33
  4. Step 4: Simplify right side
    185.36x = 37,430.95
  5. Step 5: Solve for x
    x = 37,430.95/185.36
  6. Step 6: Final answer
    x = 201.93

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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.