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Finding the Fourth Proportional to 152.32, 227.43 and 135.92

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Solution

The fourth proportional to 152.32, 227.43 and 135.92 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 227.43 = 135.92 : x
  2. Step 2: Convert to fraction form
    152.32/227.43 = 135.92/x
  3. Step 3: Cross multiply
    152.32x = 227.43 × 135.92
  4. Step 4: Simplify right side
    152.32x = 30,912.29
  5. Step 5: Solve for x
    x = 30,912.29/152.32
  6. Step 6: Final answer
    x = 202.94

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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.