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Finding the Fourth Proportional to 189.84, 262.32 and 165.78

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Solution

The fourth proportional to 189.84, 262.32 and 165.78 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 262.32 = 165.78 : x
  2. Step 2: Convert to fraction form
    189.84/262.32 = 165.78/x
  3. Step 3: Cross multiply
    189.84x = 262.32 × 165.78
  4. Step 4: Simplify right side
    189.84x = 43,487.41
  5. Step 5: Solve for x
    x = 43,487.41/189.84
  6. Step 6: Final answer
    x = 229.07

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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.