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Finding the Fourth Proportional to 219.69, 299.11 and 219.01

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Solution

The fourth proportional to 219.69, 299.11 and 219.01 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.69 : 299.11 = 219.01 : x
  2. Step 2: Convert to fraction form
    219.69/299.11 = 219.01/x
  3. Step 3: Cross multiply
    219.69x = 299.11 × 219.01
  4. Step 4: Simplify right side
    219.69x = 65,507.88
  5. Step 5: Solve for x
    x = 65,507.88/219.69
  6. Step 6: Final answer
    x = 298.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.