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Finding the Fourth Proportional to 219.92, 330.04 and 142.86

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Solution

The fourth proportional to 219.92, 330.04 and 142.86 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 330.04 = 142.86 : x
  2. Step 2: Convert to fraction form
    219.92/330.04 = 142.86/x
  3. Step 3: Cross multiply
    219.92x = 330.04 × 142.86
  4. Step 4: Simplify right side
    219.92x = 47,149.51
  5. Step 5: Solve for x
    x = 47,149.51/219.92
  6. Step 6: Final answer
    x = 214.39

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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.