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Finding the Fourth Proportional to 255.24, 382.77 and 157.73

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Solution

The fourth proportional to 255.24, 382.77 and 157.73 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 382.77 = 157.73 : x
  2. Step 2: Convert to fraction form
    255.24/382.77 = 157.73/x
  3. Step 3: Cross multiply
    255.24x = 382.77 × 157.73
  4. Step 4: Simplify right side
    255.24x = 60,373.52
  5. Step 5: Solve for x
    x = 60,373.52/255.24
  6. Step 6: Final answer
    x = 236.54

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Why These Related Problems?

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