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Finding the Fourth Proportional to 205.25, 307.78 and 107.53

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Solution

The fourth proportional to 205.25, 307.78 and 107.53 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 307.78 = 107.53 : x
  2. Step 2: Convert to fraction form
    205.25/307.78 = 107.53/x
  3. Step 3: Cross multiply
    205.25x = 307.78 × 107.53
  4. Step 4: Simplify right side
    205.25x = 33,095.15
  5. Step 5: Solve for x
    x = 33,095.15/205.25
  6. Step 6: Final answer
    x = 161.24

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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.