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Finding the Fourth Proportional to 255.11, 352.13 and 181.31

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Solution

The fourth proportional to 255.11, 352.13 and 181.31 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 352.13 = 181.31 : x
  2. Step 2: Convert to fraction form
    255.11/352.13 = 181.31/x
  3. Step 3: Cross multiply
    255.11x = 352.13 × 181.31
  4. Step 4: Simplify right side
    255.11x = 63,842.02
  5. Step 5: Solve for x
    x = 63,842.02/255.11
  6. Step 6: Final answer
    x = 250.26

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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.