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Finding the Fourth Proportional to 235.80, 355.45 and 219.80

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Solution

The fourth proportional to 235.80, 355.45 and 219.80 is: 331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 355.45 = 219.80 : x
  2. Step 2: Convert to fraction form
    235.80/355.45 = 219.80/x
  3. Step 3: Cross multiply
    235.80x = 355.45 × 219.80
  4. Step 4: Simplify right side
    235.80x = 78,127.91
  5. Step 5: Solve for x
    x = 78,127.91/235.80
  6. Step 6: Final answer
    x = 331.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.