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Finding the Fourth Proportional to 219.14, 328.38 and 194.69

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Solution

The fourth proportional to 219.14, 328.38 and 194.69 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 328.38 = 194.69 : x
  2. Step 2: Convert to fraction form
    219.14/328.38 = 194.69/x
  3. Step 3: Cross multiply
    219.14x = 328.38 × 194.69
  4. Step 4: Simplify right side
    219.14x = 63,932.30
  5. Step 5: Solve for x
    x = 63,932.30/219.14
  6. Step 6: Final answer
    x = 291.74

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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.