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Finding the Fourth Proportional to 142.51, 213.45 and 131.27

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Solution

The fourth proportional to 142.51, 213.45 and 131.27 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.51 : 213.45 = 131.27 : x
  2. Step 2: Convert to fraction form
    142.51/213.45 = 131.27/x
  3. Step 3: Cross multiply
    142.51x = 213.45 × 131.27
  4. Step 4: Simplify right side
    142.51x = 28,019.58
  5. Step 5: Solve for x
    x = 28,019.58/142.51
  6. Step 6: Final answer
    x = 196.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.