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Finding the Fourth Proportional to 219.25, 328.57 and 190.43

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Solution

The fourth proportional to 219.25, 328.57 and 190.43 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.25 : 328.57 = 190.43 : x
  2. Step 2: Convert to fraction form
    219.25/328.57 = 190.43/x
  3. Step 3: Cross multiply
    219.25x = 328.57 × 190.43
  4. Step 4: Simplify right side
    219.25x = 62,569.59
  5. Step 5: Solve for x
    x = 62,569.59/219.25
  6. Step 6: Final answer
    x = 285.38

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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.