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Finding the Fourth Proportional to 219.31, 330.54 and 189.24

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Solution

The fourth proportional to 219.31, 330.54 and 189.24 is: 285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.31 : 330.54 = 189.24 : x
  2. Step 2: Convert to fraction form
    219.31/330.54 = 189.24/x
  3. Step 3: Cross multiply
    219.31x = 330.54 × 189.24
  4. Step 4: Simplify right side
    219.31x = 62,551.39
  5. Step 5: Solve for x
    x = 62,551.39/219.31
  6. Step 6: Final answer
    x = 285.22

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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.