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Finding the Fourth Proportional to 205.25, 307.41 and 177.46

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Solution

The fourth proportional to 205.25, 307.41 and 177.46 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 307.41 = 177.46 : x
  2. Step 2: Convert to fraction form
    205.25/307.41 = 177.46/x
  3. Step 3: Cross multiply
    205.25x = 307.41 × 177.46
  4. Step 4: Simplify right side
    205.25x = 54,551.54
  5. Step 5: Solve for x
    x = 54,551.54/205.25
  6. Step 6: Final answer
    x = 265.79

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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.