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Finding the Fourth Proportional to 192.28, 264.78 and 188.02

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Solution

The fourth proportional to 192.28, 264.78 and 188.02 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 264.78 = 188.02 : x
  2. Step 2: Convert to fraction form
    192.28/264.78 = 188.02/x
  3. Step 3: Cross multiply
    192.28x = 264.78 × 188.02
  4. Step 4: Simplify right side
    192.28x = 49,783.94
  5. Step 5: Solve for x
    x = 49,783.94/192.28
  6. Step 6: Final answer
    x = 258.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.