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Finding the Fourth Proportional to 219.84, 329.85 and 142.77

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Solution

The fourth proportional to 219.84, 329.85 and 142.77 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.84 : 329.85 = 142.77 : x
  2. Step 2: Convert to fraction form
    219.84/329.85 = 142.77/x
  3. Step 3: Cross multiply
    219.84x = 329.85 × 142.77
  4. Step 4: Simplify right side
    219.84x = 47,092.68
  5. Step 5: Solve for x
    x = 47,092.68/219.84
  6. Step 6: Final answer
    x = 214.21

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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.