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Finding the Fourth Proportional to 199.42, 298.56 and 192.94

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Solution

The fourth proportional to 199.42, 298.56 and 192.94 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 298.56 = 192.94 : x
  2. Step 2: Convert to fraction form
    199.42/298.56 = 192.94/x
  3. Step 3: Cross multiply
    199.42x = 298.56 × 192.94
  4. Step 4: Simplify right side
    199.42x = 57,604.17
  5. Step 5: Solve for x
    x = 57,604.17/199.42
  6. Step 6: Final answer
    x = 288.86

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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.