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Finding the Fourth Proportional to 232.43, 320.81 and 183.51

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Solution

The fourth proportional to 232.43, 320.81 and 183.51 is: 253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.43 : 320.81 = 183.51 : x
  2. Step 2: Convert to fraction form
    232.43/320.81 = 183.51/x
  3. Step 3: Cross multiply
    232.43x = 320.81 × 183.51
  4. Step 4: Simplify right side
    232.43x = 58,870.93
  5. Step 5: Solve for x
    x = 58,870.93/232.43
  6. Step 6: Final answer
    x = 253.29

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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.