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Finding the Fourth Proportional to 254.21, 351.27 and 205.61

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Solution

The fourth proportional to 254.21, 351.27 and 205.61 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.21 : 351.27 = 205.61 : x
  2. Step 2: Convert to fraction form
    254.21/351.27 = 205.61/x
  3. Step 3: Cross multiply
    254.21x = 351.27 × 205.61
  4. Step 4: Simplify right side
    254.21x = 72,222.87
  5. Step 5: Solve for x
    x = 72,222.87/254.21
  6. Step 6: Final answer
    x = 284.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.