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Finding the Fourth Proportional to 254.47, 381.96 and 206.29

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Solution

The fourth proportional to 254.47, 381.96 and 206.29 is: 309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.47 : 381.96 = 206.29 : x
  2. Step 2: Convert to fraction form
    254.47/381.96 = 206.29/x
  3. Step 3: Cross multiply
    254.47x = 381.96 × 206.29
  4. Step 4: Simplify right side
    254.47x = 78,794.53
  5. Step 5: Solve for x
    x = 78,794.53/254.47
  6. Step 6: Final answer
    x = 309.64

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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.