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Finding the Fourth Proportional to 219.24, 302.16 and 193.78

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Solution

The fourth proportional to 219.24, 302.16 and 193.78 is: 267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.24 : 302.16 = 193.78 : x
  2. Step 2: Convert to fraction form
    219.24/302.16 = 193.78/x
  3. Step 3: Cross multiply
    219.24x = 302.16 × 193.78
  4. Step 4: Simplify right side
    219.24x = 58,550.09
  5. Step 5: Solve for x
    x = 58,550.09/219.24
  6. Step 6: Final answer
    x = 267.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.