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Finding the Fourth Proportional to 233.76, 323.04 and 184.56

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Solution

The fourth proportional to 233.76, 323.04 and 184.56 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 323.04 = 184.56 : x
  2. Step 2: Convert to fraction form
    233.76/323.04 = 184.56/x
  3. Step 3: Cross multiply
    233.76x = 323.04 × 184.56
  4. Step 4: Simplify right side
    233.76x = 59,620.26
  5. Step 5: Solve for x
    x = 59,620.26/233.76
  6. Step 6: Final answer
    x = 255.05

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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.