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Finding the Fourth Proportional to 235.80, 325.94 and 217.96

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Solution

The fourth proportional to 235.80, 325.94 and 217.96 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 325.94 = 217.96 : x
  2. Step 2: Convert to fraction form
    235.80/325.94 = 217.96/x
  3. Step 3: Cross multiply
    235.80x = 325.94 × 217.96
  4. Step 4: Simplify right side
    235.80x = 71,041.88
  5. Step 5: Solve for x
    x = 71,041.88/235.80
  6. Step 6: Final answer
    x = 301.28

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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.