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Finding the Fourth Proportional to 219.42, 329.19 and 116.69

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Solution

The fourth proportional to 219.42, 329.19 and 116.69 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 329.19 = 116.69 : x
  2. Step 2: Convert to fraction form
    219.42/329.19 = 116.69/x
  3. Step 3: Cross multiply
    219.42x = 329.19 × 116.69
  4. Step 4: Simplify right side
    219.42x = 38,411.54
  5. Step 5: Solve for x
    x = 38,411.54/219.42
  6. Step 6: Final answer
    x = 175.06

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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.