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Finding the Fourth Proportional to 255.78, 383.71 and 82.43

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Solution

The fourth proportional to 255.78, 383.71 and 82.43 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 383.71 = 82.43 : x
  2. Step 2: Convert to fraction form
    255.78/383.71 = 82.43/x
  3. Step 3: Cross multiply
    255.78x = 383.71 × 82.43
  4. Step 4: Simplify right side
    255.78x = 31,627.30
  5. Step 5: Solve for x
    x = 31,627.30/255.78
  6. Step 6: Final answer
    x = 123.65

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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.