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Finding the Fourth Proportional to 219.78, 329.74 and 75.50

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Solution

The fourth proportional to 219.78, 329.74 and 75.50 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.78 : 329.74 = 75.50 : x
  2. Step 2: Convert to fraction form
    219.78/329.74 = 75.50/x
  3. Step 3: Cross multiply
    219.78x = 329.74 × 75.50
  4. Step 4: Simplify right side
    219.78x = 24,895.37
  5. Step 5: Solve for x
    x = 24,895.37/219.78
  6. Step 6: Final answer
    x = 113.27

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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.