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Finding the Fourth Proportional to 255.11, 382.16 and 152.09

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Solution

The fourth proportional to 255.11, 382.16 and 152.09 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.11 : 382.16 = 152.09 : x
  2. Step 2: Convert to fraction form
    255.11/382.16 = 152.09/x
  3. Step 3: Cross multiply
    255.11x = 382.16 × 152.09
  4. Step 4: Simplify right side
    255.11x = 58,122.71
  5. Step 5: Solve for x
    x = 58,122.71/255.11
  6. Step 6: Final answer
    x = 227.83

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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.