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Finding the Fourth Proportional to 235.25, 352.32 and 137.54

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Solution

The fourth proportional to 235.25, 352.32 and 137.54 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.25 : 352.32 = 137.54 : x
  2. Step 2: Convert to fraction form
    235.25/352.32 = 137.54/x
  3. Step 3: Cross multiply
    235.25x = 352.32 × 137.54
  4. Step 4: Simplify right side
    235.25x = 48,458.46
  5. Step 5: Solve for x
    x = 48,458.46/235.25
  6. Step 6: Final answer
    x = 205.99

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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.