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Finding the Fourth Proportional to 388.92, 583.56 and 196.50

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Solution

The fourth proportional to 388.92, 583.56 and 196.50 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.92 : 583.56 = 196.50 : x
  2. Step 2: Convert to fraction form
    388.92/583.56 = 196.50/x
  3. Step 3: Cross multiply
    388.92x = 583.56 × 196.50
  4. Step 4: Simplify right side
    388.92x = 114,669.54
  5. Step 5: Solve for x
    x = 114,669.54/388.92
  6. Step 6: Final answer
    x = 294.84

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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.