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Finding the Fourth Proportional to 213.84, 318.96 and 207.09

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Solution

The fourth proportional to 213.84, 318.96 and 207.09 is: 308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 318.96 = 207.09 : x
  2. Step 2: Convert to fraction form
    213.84/318.96 = 207.09/x
  3. Step 3: Cross multiply
    213.84x = 318.96 × 207.09
  4. Step 4: Simplify right side
    213.84x = 66,053.43
  5. Step 5: Solve for x
    x = 66,053.43/213.84
  6. Step 6: Final answer
    x = 308.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.