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Finding the Fourth Proportional to 253.93, 381.17 and 206.41

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Solution

The fourth proportional to 253.93, 381.17 and 206.41 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.93 : 381.17 = 206.41 : x
  2. Step 2: Convert to fraction form
    253.93/381.17 = 206.41/x
  3. Step 3: Cross multiply
    253.93x = 381.17 × 206.41
  4. Step 4: Simplify right side
    253.93x = 78,677.30
  5. Step 5: Solve for x
    x = 78,677.30/253.93
  6. Step 6: Final answer
    x = 309.84

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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.