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Finding the Fourth Proportional to 152.26, 227.28 and 134.04

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Solution

The fourth proportional to 152.26, 227.28 and 134.04 is: 200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.26 : 227.28 = 134.04 : x
  2. Step 2: Convert to fraction form
    152.26/227.28 = 134.04/x
  3. Step 3: Cross multiply
    152.26x = 227.28 × 134.04
  4. Step 4: Simplify right side
    152.26x = 30,463.14
  5. Step 5: Solve for x
    x = 30,463.14/152.26
  6. Step 6: Final answer
    x = 200.07

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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.