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Finding the Fourth Proportional to 254.24, 350.85 and 137.81

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Solution

The fourth proportional to 254.24, 350.85 and 137.81 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 350.85 = 137.81 : x
  2. Step 2: Convert to fraction form
    254.24/350.85 = 137.81/x
  3. Step 3: Cross multiply
    254.24x = 350.85 × 137.81
  4. Step 4: Simplify right side
    254.24x = 48,349.49
  5. Step 5: Solve for x
    x = 48,349.49/254.24
  6. Step 6: Final answer
    x = 190.17

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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.