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Finding the Fourth Proportional to 152.72, 227.86 and 131.12

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Solution

The fourth proportional to 152.72, 227.86 and 131.12 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.72 : 227.86 = 131.12 : x
  2. Step 2: Convert to fraction form
    152.72/227.86 = 131.12/x
  3. Step 3: Cross multiply
    152.72x = 227.86 × 131.12
  4. Step 4: Simplify right side
    152.72x = 29,877.00
  5. Step 5: Solve for x
    x = 29,877.00/152.72
  6. Step 6: Final answer
    x = 195.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.