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Finding the Fourth Proportional to 232.20, 320.76 and 183.69

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Solution

The fourth proportional to 232.20, 320.76 and 183.69 is: 253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 320.76 = 183.69 : x
  2. Step 2: Convert to fraction form
    232.20/320.76 = 183.69/x
  3. Step 3: Cross multiply
    232.20x = 320.76 × 183.69
  4. Step 4: Simplify right side
    232.20x = 58,920.40
  5. Step 5: Solve for x
    x = 58,920.40/232.20
  6. Step 6: Final answer
    x = 253.75

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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.