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Finding the Fourth Proportional to 233.22, 349.92 and 137

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Solution

The fourth proportional to 233.22, 349.92 and 137 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.22 : 349.92 = 137 : x
  2. Step 2: Convert to fraction form
    233.22/349.92 = 137/x
  3. Step 3: Cross multiply
    233.22x = 349.92 × 137
  4. Step 4: Simplify right side
    233.22x = 47,939.04
  5. Step 5: Solve for x
    x = 47,939.04/233.22
  6. Step 6: Final answer
    x = 205.55

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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.