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Finding the Fourth Proportional to 205.07, 307.76 and 113.80

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Solution

The fourth proportional to 205.07, 307.76 and 113.80 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 307.76 = 113.80 : x
  2. Step 2: Convert to fraction form
    205.07/307.76 = 113.80/x
  3. Step 3: Cross multiply
    205.07x = 307.76 × 113.80
  4. Step 4: Simplify right side
    205.07x = 35,022.60
  5. Step 5: Solve for x
    x = 35,022.60/205.07
  6. Step 6: Final answer
    x = 170.78

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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.