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Finding the Fourth Proportional to 192.52, 288.78 and 177.28

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Solution

The fourth proportional to 192.52, 288.78 and 177.28 is: 265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 288.78 = 177.28 : x
  2. Step 2: Convert to fraction form
    192.52/288.78 = 177.28/x
  3. Step 3: Cross multiply
    192.52x = 288.78 × 177.28
  4. Step 4: Simplify right side
    192.52x = 51,194.92
  5. Step 5: Solve for x
    x = 51,194.92/192.52
  6. Step 6: Final answer
    x = 265.92

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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.