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Finding the Fourth Proportional to 233.69, 349.92 and 187.92

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Solution

The fourth proportional to 233.69, 349.92 and 187.92 is: 281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 349.92 = 187.92 : x
  2. Step 2: Convert to fraction form
    233.69/349.92 = 187.92/x
  3. Step 3: Cross multiply
    233.69x = 349.92 × 187.92
  4. Step 4: Simplify right side
    233.69x = 65,756.97
  5. Step 5: Solve for x
    x = 65,756.97/233.69
  6. Step 6: Final answer
    x = 281.39

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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.