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Finding the Fourth Proportional to 254.21, 350.81 and 137.78

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Solution

The fourth proportional to 254.21, 350.81 and 137.78 is: 190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.21 : 350.81 = 137.78 : x
  2. Step 2: Convert to fraction form
    254.21/350.81 = 137.78/x
  3. Step 3: Cross multiply
    254.21x = 350.81 × 137.78
  4. Step 4: Simplify right side
    254.21x = 48,332.85
  5. Step 5: Solve for x
    x = 48,332.85/254.21
  6. Step 6: Final answer
    x = 190.13

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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.