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Finding the Fourth Proportional to 235.49, 352.98 and 208.49

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Solution

The fourth proportional to 235.49, 352.98 and 208.49 is: 312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.49 : 352.98 = 208.49 : x
  2. Step 2: Convert to fraction form
    235.49/352.98 = 208.49/x
  3. Step 3: Cross multiply
    235.49x = 352.98 × 208.49
  4. Step 4: Simplify right side
    235.49x = 73,591.04
  5. Step 5: Solve for x
    x = 73,591.04/235.49
  6. Step 6: Final answer
    x = 312.51

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Why These Related Problems?

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