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Finding the Fourth Proportional to 232.94, 320.84 and 183.72

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Solution

The fourth proportional to 232.94, 320.84 and 183.72 is: 253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.94 : 320.84 = 183.72 : x
  2. Step 2: Convert to fraction form
    232.94/320.84 = 183.72/x
  3. Step 3: Cross multiply
    232.94x = 320.84 × 183.72
  4. Step 4: Simplify right side
    232.94x = 58,944.72
  5. Step 5: Solve for x
    x = 58,944.72/232.94
  6. Step 6: Final answer
    x = 253.05

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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.