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Finding the Fourth Proportional to 219.36, 329.60 and 188.04

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Solution

The fourth proportional to 219.36, 329.60 and 188.04 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 329.60 = 188.04 : x
  2. Step 2: Convert to fraction form
    219.36/329.60 = 188.04/x
  3. Step 3: Cross multiply
    219.36x = 329.60 × 188.04
  4. Step 4: Simplify right side
    219.36x = 61,977.98
  5. Step 5: Solve for x
    x = 61,977.98/219.36
  6. Step 6: Final answer
    x = 282.54

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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.