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Finding the Fourth Proportional to 308.70, 462.93 and 192.98

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Solution

The fourth proportional to 308.70, 462.93 and 192.98 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.70 : 462.93 = 192.98 : x
  2. Step 2: Convert to fraction form
    308.70/462.93 = 192.98/x
  3. Step 3: Cross multiply
    308.70x = 462.93 × 192.98
  4. Step 4: Simplify right side
    308.70x = 89,333.92
  5. Step 5: Solve for x
    x = 89,333.92/308.70
  6. Step 6: Final answer
    x = 289.39

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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.