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Finding the Fourth Proportional to 255.20, 383.00 and 159.21

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Solution

The fourth proportional to 255.20, 383.00 and 159.21 is: 238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.20 : 383.00 = 159.21 : x
  2. Step 2: Convert to fraction form
    255.20/383.00 = 159.21/x
  3. Step 3: Cross multiply
    255.20x = 383.00 × 159.21
  4. Step 4: Simplify right side
    255.20x = 60,976.63
  5. Step 5: Solve for x
    x = 60,976.63/255.20
  6. Step 6: Final answer
    x = 238.94

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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.