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Finding the Fourth Proportional to 219.36, 328.68 and 142.24

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Solution

The fourth proportional to 219.36, 328.68 and 142.24 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 328.68 = 142.24 : x
  2. Step 2: Convert to fraction form
    219.36/328.68 = 142.24/x
  3. Step 3: Cross multiply
    219.36x = 328.68 × 142.24
  4. Step 4: Simplify right side
    219.36x = 46,751.44
  5. Step 5: Solve for x
    x = 46,751.44/219.36
  6. Step 6: Final answer
    x = 213.13

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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.