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Finding the Fourth Proportional to 255.29, 352.87 and 182.23

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Solution

The fourth proportional to 255.29, 352.87 and 182.23 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 352.87 = 182.23 : x
  2. Step 2: Convert to fraction form
    255.29/352.87 = 182.23/x
  3. Step 3: Cross multiply
    255.29x = 352.87 × 182.23
  4. Step 4: Simplify right side
    255.29x = 64,302.16
  5. Step 5: Solve for x
    x = 64,302.16/255.29
  6. Step 6: Final answer
    x = 251.88

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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.