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Finding the Fourth Proportional to 307.76, 462.14 and 194.48

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Solution

The fourth proportional to 307.76, 462.14 and 194.48 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.76 : 462.14 = 194.48 : x
  2. Step 2: Convert to fraction form
    307.76/462.14 = 194.48/x
  3. Step 3: Cross multiply
    307.76x = 462.14 × 194.48
  4. Step 4: Simplify right side
    307.76x = 89,876.99
  5. Step 5: Solve for x
    x = 89,876.99/307.76
  6. Step 6: Final answer
    x = 292.04

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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.