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Finding the Fourth Proportional to 254.29, 350.92 and 137.85

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Solution

The fourth proportional to 254.29, 350.92 and 137.85 is: 190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.29 : 350.92 = 137.85 : x
  2. Step 2: Convert to fraction form
    254.29/350.92 = 137.85/x
  3. Step 3: Cross multiply
    254.29x = 350.92 × 137.85
  4. Step 4: Simplify right side
    254.29x = 48,373.63
  5. Step 5: Solve for x
    x = 48,373.63/254.29
  6. Step 6: Final answer
    x = 190.23

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