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Finding the Fourth Proportional to 152.52, 227.43 and 136.32

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Solution

The fourth proportional to 152.52, 227.43 and 136.32 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 227.43 = 136.32 : x
  2. Step 2: Convert to fraction form
    152.52/227.43 = 136.32/x
  3. Step 3: Cross multiply
    152.52x = 227.43 × 136.32
  4. Step 4: Simplify right side
    152.52x = 31,003.26
  5. Step 5: Solve for x
    x = 31,003.26/152.52
  6. Step 6: Final answer
    x = 203.27

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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.