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Finding the Fourth Proportional to 226.33, 339.29 and 153.23

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Solution

The fourth proportional to 226.33, 339.29 and 153.23 is: 229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 339.29 = 153.23 : x
  2. Step 2: Convert to fraction form
    226.33/339.29 = 153.23/x
  3. Step 3: Cross multiply
    226.33x = 339.29 × 153.23
  4. Step 4: Simplify right side
    226.33x = 51,987.52
  5. Step 5: Solve for x
    x = 51,987.52/226.33
  6. Step 6: Final answer
    x = 229.70

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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.