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Finding the Fourth Proportional to 235.66, 353.76 and 223.42

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Solution

The fourth proportional to 235.66, 353.76 and 223.42 is: 335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 353.76 = 223.42 : x
  2. Step 2: Convert to fraction form
    235.66/353.76 = 223.42/x
  3. Step 3: Cross multiply
    235.66x = 353.76 × 223.42
  4. Step 4: Simplify right side
    235.66x = 79,037.06
  5. Step 5: Solve for x
    x = 79,037.06/235.66
  6. Step 6: Final answer
    x = 335.39

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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.