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Finding the Fourth Proportional to 207.90, 310.33 and 194.22

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Solution

The fourth proportional to 207.90, 310.33 and 194.22 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.90 : 310.33 = 194.22 : x
  2. Step 2: Convert to fraction form
    207.90/310.33 = 194.22/x
  3. Step 3: Cross multiply
    207.90x = 310.33 × 194.22
  4. Step 4: Simplify right side
    207.90x = 60,272.54
  5. Step 5: Solve for x
    x = 60,272.54/207.90
  6. Step 6: Final answer
    x = 289.91

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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.