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Finding the Fourth Proportional to 219.15, 328.38 and 116.41

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Solution

The fourth proportional to 219.15, 328.38 and 116.41 is: 174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.15 : 328.38 = 116.41 : x
  2. Step 2: Convert to fraction form
    219.15/328.38 = 116.41/x
  3. Step 3: Cross multiply
    219.15x = 328.38 × 116.41
  4. Step 4: Simplify right side
    219.15x = 38,225.89
  5. Step 5: Solve for x
    x = 38,225.89/219.15
  6. Step 6: Final answer
    x = 174.43

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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.