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Finding the Fourth Proportional to 192.78, 288.36 and 160.02

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Solution

The fourth proportional to 192.78, 288.36 and 160.02 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 288.36 = 160.02 : x
  2. Step 2: Convert to fraction form
    192.78/288.36 = 160.02/x
  3. Step 3: Cross multiply
    192.78x = 288.36 × 160.02
  4. Step 4: Simplify right side
    192.78x = 46,143.37
  5. Step 5: Solve for x
    x = 46,143.37/192.78
  6. Step 6: Final answer
    x = 239.36

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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.