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Finding the Fourth Proportional to 192.78, 289.16 and 48.49

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Solution

The fourth proportional to 192.78, 289.16 and 48.49 is: 72.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 289.16 = 48.49 : x
  2. Step 2: Convert to fraction form
    192.78/289.16 = 48.49/x
  3. Step 3: Cross multiply
    192.78x = 289.16 × 48.49
  4. Step 4: Simplify right side
    192.78x = 14,021.37
  5. Step 5: Solve for x
    x = 14,021.37/192.78
  6. Step 6: Final answer
    x = 72.73

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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.