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Finding the Fourth Proportional to 232.76, 320.94 and 183.75

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Solution

The fourth proportional to 232.76, 320.94 and 183.75 is: 253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.76 : 320.94 = 183.75 : x
  2. Step 2: Convert to fraction form
    232.76/320.94 = 183.75/x
  3. Step 3: Cross multiply
    232.76x = 320.94 × 183.75
  4. Step 4: Simplify right side
    232.76x = 58,972.73
  5. Step 5: Solve for x
    x = 58,972.73/232.76
  6. Step 6: Final answer
    x = 253.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.