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Finding the Fourth Proportional to 205.24, 307.64 and 83.44

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Solution

The fourth proportional to 205.24, 307.64 and 83.44 is: 125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.64 = 83.44 : x
  2. Step 2: Convert to fraction form
    205.24/307.64 = 83.44/x
  3. Step 3: Cross multiply
    205.24x = 307.64 × 83.44
  4. Step 4: Simplify right side
    205.24x = 25,669.48
  5. Step 5: Solve for x
    x = 25,669.48/205.24
  6. Step 6: Final answer
    x = 125.07

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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.