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Finding the Fourth Proportional to 219.39, 328.68 and 137.94

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Solution

The fourth proportional to 219.39, 328.68 and 137.94 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.39 : 328.68 = 137.94 : x
  2. Step 2: Convert to fraction form
    219.39/328.68 = 137.94/x
  3. Step 3: Cross multiply
    219.39x = 328.68 × 137.94
  4. Step 4: Simplify right side
    219.39x = 45,338.12
  5. Step 5: Solve for x
    x = 45,338.12/219.39
  6. Step 6: Final answer
    x = 206.66

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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.