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Finding the Fourth Proportional to 189.23, 262.26 and 171

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Solution

The fourth proportional to 189.23, 262.26 and 171 is: 237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 262.26 = 171 : x
  2. Step 2: Convert to fraction form
    189.23/262.26 = 171/x
  3. Step 3: Cross multiply
    189.23x = 262.26 × 171
  4. Step 4: Simplify right side
    189.23x = 44,846.46
  5. Step 5: Solve for x
    x = 44,846.46/189.23
  6. Step 6: Final answer
    x = 237.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.