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Finding the Fourth Proportional to 255.23, 352.23 and 138.80

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Solution

The fourth proportional to 255.23, 352.23 and 138.80 is: 191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.23 : 352.23 = 138.80 : x
  2. Step 2: Convert to fraction form
    255.23/352.23 = 138.80/x
  3. Step 3: Cross multiply
    255.23x = 352.23 × 138.80
  4. Step 4: Simplify right side
    255.23x = 48,888.68
  5. Step 5: Solve for x
    x = 48,888.68/255.23
  6. Step 6: Final answer
    x = 191.54

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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.