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Finding the Fourth Proportional to 255.28, 383.32 and 159.52

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Solution

The fourth proportional to 255.28, 383.32 and 159.52 is: 239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.28 : 383.32 = 159.52 : x
  2. Step 2: Convert to fraction form
    255.28/383.32 = 159.52/x
  3. Step 3: Cross multiply
    255.28x = 383.32 × 159.52
  4. Step 4: Simplify right side
    255.28x = 61,147.21
  5. Step 5: Solve for x
    x = 61,147.21/255.28
  6. Step 6: Final answer
    x = 239.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.