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Finding the Fourth Proportional to 235.38, 353.28 and 208.02

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Solution

The fourth proportional to 235.38, 353.28 and 208.02 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.38 : 353.28 = 208.02 : x
  2. Step 2: Convert to fraction form
    235.38/353.28 = 208.02/x
  3. Step 3: Cross multiply
    235.38x = 353.28 × 208.02
  4. Step 4: Simplify right side
    235.38x = 73,489.31
  5. Step 5: Solve for x
    x = 73,489.31/235.38
  6. Step 6: Final answer
    x = 312.22

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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.