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Finding the Fourth Proportional to 255.10, 382.64 and 72.49

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Solution

The fourth proportional to 255.10, 382.64 and 72.49 is: 108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 382.64 = 72.49 : x
  2. Step 2: Convert to fraction form
    255.10/382.64 = 72.49/x
  3. Step 3: Cross multiply
    255.10x = 382.64 × 72.49
  4. Step 4: Simplify right side
    255.10x = 27,736.25
  5. Step 5: Solve for x
    x = 27,736.25/255.10
  6. Step 6: Final answer
    x = 108.73

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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.