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Finding the Fourth Proportional to 189.99, 262.26 and 165.36

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Solution

The fourth proportional to 189.99, 262.26 and 165.36 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.99 : 262.26 = 165.36 : x
  2. Step 2: Convert to fraction form
    189.99/262.26 = 165.36/x
  3. Step 3: Cross multiply
    189.99x = 262.26 × 165.36
  4. Step 4: Simplify right side
    189.99x = 43,367.31
  5. Step 5: Solve for x
    x = 43,367.31/189.99
  6. Step 6: Final answer
    x = 228.26

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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.