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Finding the Fourth Proportional to 232.60, 320.68 and 183.28

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Solution

The fourth proportional to 232.60, 320.68 and 183.28 is: 252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 320.68 = 183.28 : x
  2. Step 2: Convert to fraction form
    232.60/320.68 = 183.28/x
  3. Step 3: Cross multiply
    232.60x = 320.68 × 183.28
  4. Step 4: Simplify right side
    232.60x = 58,774.23
  5. Step 5: Solve for x
    x = 58,774.23/232.60
  6. Step 6: Final answer
    x = 252.68

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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.