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Finding the Fourth Proportional to 204.75, 307.13 and 194.22

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Solution

The fourth proportional to 204.75, 307.13 and 194.22 is: 291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 307.13 = 194.22 : x
  2. Step 2: Convert to fraction form
    204.75/307.13 = 194.22/x
  3. Step 3: Cross multiply
    204.75x = 307.13 × 194.22
  4. Step 4: Simplify right side
    204.75x = 59,649.82
  5. Step 5: Solve for x
    x = 59,649.82/204.75
  6. Step 6: Final answer
    x = 291.33

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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.