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Finding the Fourth Proportional to 219.94, 330.08 and 194.30

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Solution

The fourth proportional to 219.94, 330.08 and 194.30 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.94 : 330.08 = 194.30 : x
  2. Step 2: Convert to fraction form
    219.94/330.08 = 194.30/x
  3. Step 3: Cross multiply
    219.94x = 330.08 × 194.30
  4. Step 4: Simplify right side
    219.94x = 64,134.54
  5. Step 5: Solve for x
    x = 64,134.54/219.94
  6. Step 6: Final answer
    x = 291.60

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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.