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Finding the Fourth Proportional to 219.27, 328.90 and 137.94

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Solution

The fourth proportional to 219.27, 328.90 and 137.94 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 328.90 = 137.94 : x
  2. Step 2: Convert to fraction form
    219.27/328.90 = 137.94/x
  3. Step 3: Cross multiply
    219.27x = 328.90 × 137.94
  4. Step 4: Simplify right side
    219.27x = 45,368.47
  5. Step 5: Solve for x
    x = 45,368.47/219.27
  6. Step 6: Final answer
    x = 206.91

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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.