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Finding the Fourth Proportional to 204.93, 307.26 and 83.25

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Solution

The fourth proportional to 204.93, 307.26 and 83.25 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.93 : 307.26 = 83.25 : x
  2. Step 2: Convert to fraction form
    204.93/307.26 = 83.25/x
  3. Step 3: Cross multiply
    204.93x = 307.26 × 83.25
  4. Step 4: Simplify right side
    204.93x = 25,579.40
  5. Step 5: Solve for x
    x = 25,579.40/204.93
  6. Step 6: Final answer
    x = 124.82

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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.