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Finding the Fourth Proportional to 192.58, 264.57 and 191.36

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Solution

The fourth proportional to 192.58, 264.57 and 191.36 is: 262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 264.57 = 191.36 : x
  2. Step 2: Convert to fraction form
    192.58/264.57 = 191.36/x
  3. Step 3: Cross multiply
    192.58x = 264.57 × 191.36
  4. Step 4: Simplify right side
    192.58x = 50,628.06
  5. Step 5: Solve for x
    x = 50,628.06/192.58
  6. Step 6: Final answer
    x = 262.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.