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Finding the Fourth Proportional to 254.03, 381.24 and 185.81

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Solution

The fourth proportional to 254.03, 381.24 and 185.81 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.03 : 381.24 = 185.81 : x
  2. Step 2: Convert to fraction form
    254.03/381.24 = 185.81/x
  3. Step 3: Cross multiply
    254.03x = 381.24 × 185.81
  4. Step 4: Simplify right side
    254.03x = 70,836.30
  5. Step 5: Solve for x
    x = 70,836.30/254.03
  6. Step 6: Final answer
    x = 278.86

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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.