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Finding the Fourth Proportional to 219.36, 328.74 and 116.52

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Solution

The fourth proportional to 219.36, 328.74 and 116.52 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 328.74 = 116.52 : x
  2. Step 2: Convert to fraction form
    219.36/328.74 = 116.52/x
  3. Step 3: Cross multiply
    219.36x = 328.74 × 116.52
  4. Step 4: Simplify right side
    219.36x = 38,304.78
  5. Step 5: Solve for x
    x = 38,304.78/219.36
  6. Step 6: Final answer
    x = 174.62

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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.