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Finding the Fourth Proportional to 205.24, 307.56 and 113.86

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Solution

The fourth proportional to 205.24, 307.56 and 113.86 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.56 = 113.86 : x
  2. Step 2: Convert to fraction form
    205.24/307.56 = 113.86/x
  3. Step 3: Cross multiply
    205.24x = 307.56 × 113.86
  4. Step 4: Simplify right side
    205.24x = 35,018.78
  5. Step 5: Solve for x
    x = 35,018.78/205.24
  6. Step 6: Final answer
    x = 170.62

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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.