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Finding the Fourth Proportional to 235.10, 350.92 and 208.08

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Solution

The fourth proportional to 235.10, 350.92 and 208.08 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.10 : 350.92 = 208.08 : x
  2. Step 2: Convert to fraction form
    235.10/350.92 = 208.08/x
  3. Step 3: Cross multiply
    235.10x = 350.92 × 208.08
  4. Step 4: Simplify right side
    235.10x = 73,019.43
  5. Step 5: Solve for x
    x = 73,019.43/235.10
  6. Step 6: Final answer
    x = 310.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.