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Finding the Fourth Proportional to 152.24, 227.96 and 135.07

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Solution

The fourth proportional to 152.24, 227.96 and 135.07 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.24 : 227.96 = 135.07 : x
  2. Step 2: Convert to fraction form
    152.24/227.96 = 135.07/x
  3. Step 3: Cross multiply
    152.24x = 227.96 × 135.07
  4. Step 4: Simplify right side
    152.24x = 30,790.56
  5. Step 5: Solve for x
    x = 30,790.56/152.24
  6. Step 6: Final answer
    x = 202.25

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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.