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Finding the Fourth Proportional to 219.20, 302.72 and 207.68

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Solution

The fourth proportional to 219.20, 302.72 and 207.68 is: 286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 302.72 = 207.68 : x
  2. Step 2: Convert to fraction form
    219.20/302.72 = 207.68/x
  3. Step 3: Cross multiply
    219.20x = 302.72 × 207.68
  4. Step 4: Simplify right side
    219.20x = 62,868.89
  5. Step 5: Solve for x
    x = 62,868.89/219.20
  6. Step 6: Final answer
    x = 286.81

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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.