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Finding the Fourth Proportional to 255.12, 382.30 and 248.76

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Solution

The fourth proportional to 255.12, 382.30 and 248.76 is: 372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.12 : 382.30 = 248.76 : x
  2. Step 2: Convert to fraction form
    255.12/382.30 = 248.76/x
  3. Step 3: Cross multiply
    255.12x = 382.30 × 248.76
  4. Step 4: Simplify right side
    255.12x = 95,100.95
  5. Step 5: Solve for x
    x = 95,100.95/255.12
  6. Step 6: Final answer
    x = 372.77

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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.