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Finding the Fourth Proportional to 235.68, 353.87 and 184.88

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Solution

The fourth proportional to 235.68, 353.87 and 184.88 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 353.87 = 184.88 : x
  2. Step 2: Convert to fraction form
    235.68/353.87 = 184.88/x
  3. Step 3: Cross multiply
    235.68x = 353.87 × 184.88
  4. Step 4: Simplify right side
    235.68x = 65,424.14
  5. Step 5: Solve for x
    x = 65,424.14/235.68
  6. Step 6: Final answer
    x = 277.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.