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Finding the Fourth Proportional to 235.75, 352.38 and 212.57

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Solution

The fourth proportional to 235.75, 352.38 and 212.57 is: 317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 352.38 = 212.57 : x
  2. Step 2: Convert to fraction form
    235.75/352.38 = 212.57/x
  3. Step 3: Cross multiply
    235.75x = 352.38 × 212.57
  4. Step 4: Simplify right side
    235.75x = 74,905.42
  5. Step 5: Solve for x
    x = 74,905.42/235.75
  6. Step 6: Final answer
    x = 317.73

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Why These Related Problems?

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