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Finding the Fourth Proportional to 205.01, 307.37 and 83.25

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Solution

The fourth proportional to 205.01, 307.37 and 83.25 is: 124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.01 : 307.37 = 83.25 : x
  2. Step 2: Convert to fraction form
    205.01/307.37 = 83.25/x
  3. Step 3: Cross multiply
    205.01x = 307.37 × 83.25
  4. Step 4: Simplify right side
    205.01x = 25,588.14
  5. Step 5: Solve for x
    x = 25,588.14/205.01
  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.