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Finding the Fourth Proportional to 235.75, 325.35 and 132.25

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Solution

The fourth proportional to 235.75, 325.35 and 132.25 is: 182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 325.35 = 132.25 : x
  2. Step 2: Convert to fraction form
    235.75/325.35 = 132.25/x
  3. Step 3: Cross multiply
    235.75x = 325.35 × 132.25
  4. Step 4: Simplify right side
    235.75x = 43,027.54
  5. Step 5: Solve for x
    x = 43,027.54/235.75
  6. Step 6: Final answer
    x = 182.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.