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Finding the Fourth Proportional to 235.73, 352.85 and 162.17

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Solution

The fourth proportional to 235.73, 352.85 and 162.17 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.73 : 352.85 = 162.17 : x
  2. Step 2: Convert to fraction form
    235.73/352.85 = 162.17/x
  3. Step 3: Cross multiply
    235.73x = 352.85 × 162.17
  4. Step 4: Simplify right side
    235.73x = 57,220.87
  5. Step 5: Solve for x
    x = 57,220.87/235.73
  6. Step 6: Final answer
    x = 242.74

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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.