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Finding the Fourth Proportional to 154.82, 213.35 and 131.43

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Solution

The fourth proportional to 154.82, 213.35 and 131.43 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 213.35 = 131.43 : x
  2. Step 2: Convert to fraction form
    154.82/213.35 = 131.43/x
  3. Step 3: Cross multiply
    154.82x = 213.35 × 131.43
  4. Step 4: Simplify right side
    154.82x = 28,040.92
  5. Step 5: Solve for x
    x = 28,040.92/154.82
  6. Step 6: Final answer
    x = 181.12

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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.