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Finding the Fourth Proportional to 255.13, 382.81 and 125.09

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Solution

The fourth proportional to 255.13, 382.81 and 125.09 is: 187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 382.81 = 125.09 : x
  2. Step 2: Convert to fraction form
    255.13/382.81 = 125.09/x
  3. Step 3: Cross multiply
    255.13x = 382.81 × 125.09
  4. Step 4: Simplify right side
    255.13x = 47,885.70
  5. Step 5: Solve for x
    x = 47,885.70/255.13
  6. Step 6: Final answer
    x = 187.69

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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.