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Finding the Fourth Proportional to 235.54, 352.23 and 191.80

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Solution

The fourth proportional to 235.54, 352.23 and 191.80 is: 286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.54 : 352.23 = 191.80 : x
  2. Step 2: Convert to fraction form
    235.54/352.23 = 191.80/x
  3. Step 3: Cross multiply
    235.54x = 352.23 × 191.80
  4. Step 4: Simplify right side
    235.54x = 67,557.71
  5. Step 5: Solve for x
    x = 67,557.71/235.54
  6. Step 6: Final answer
    x = 286.82

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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.