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Finding the Fourth Proportional to 235.24, 352.72 and 208.24

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Solution

The fourth proportional to 235.24, 352.72 and 208.24 is: 312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.24 : 352.72 = 208.24 : x
  2. Step 2: Convert to fraction form
    235.24/352.72 = 208.24/x
  3. Step 3: Cross multiply
    235.24x = 352.72 × 208.24
  4. Step 4: Simplify right side
    235.24x = 73,450.41
  5. Step 5: Solve for x
    x = 73,450.41/235.24
  6. Step 6: Final answer
    x = 312.24

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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.