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Finding the Fourth Proportional to 205.24, 307.80 and 76.96

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Solution

The fourth proportional to 205.24, 307.80 and 76.96 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.80 = 76.96 : x
  2. Step 2: Convert to fraction form
    205.24/307.80 = 76.96/x
  3. Step 3: Cross multiply
    205.24x = 307.80 × 76.96
  4. Step 4: Simplify right side
    205.24x = 23,688.29
  5. Step 5: Solve for x
    x = 23,688.29/205.24
  6. Step 6: Final answer
    x = 115.42

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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.