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Finding the Fourth Proportional to 307.76, 461.52 and 193

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Solution

The fourth proportional to 307.76, 461.52 and 193 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 461.52 = 193 : x
  2. Step 2: Convert to fraction form
    307.76/461.52 = 193/x
  3. Step 3: Cross multiply
    307.76x = 461.52 × 193
  4. Step 4: Simplify right side
    307.76x = 89,073.36
  5. Step 5: Solve for x
    x = 89,073.36/307.76
  6. Step 6: Final answer
    x = 289.42

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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.