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Finding the Fourth Proportional to 233.87, 322.72 and 184.86

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Solution

The fourth proportional to 233.87, 322.72 and 184.86 is: 255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.87 : 322.72 = 184.86 : x
  2. Step 2: Convert to fraction form
    233.87/322.72 = 184.86/x
  3. Step 3: Cross multiply
    233.87x = 322.72 × 184.86
  4. Step 4: Simplify right side
    233.87x = 59,657.56
  5. Step 5: Solve for x
    x = 59,657.56/233.87
  6. Step 6: Final answer
    x = 255.09

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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.