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Finding the Fourth Proportional to 189.21, 284.09 and 165.45

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Solution

The fourth proportional to 189.21, 284.09 and 165.45 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 284.09 = 165.45 : x
  2. Step 2: Convert to fraction form
    189.21/284.09 = 165.45/x
  3. Step 3: Cross multiply
    189.21x = 284.09 × 165.45
  4. Step 4: Simplify right side
    189.21x = 47,000.44
  5. Step 5: Solve for x
    x = 47,000.44/189.21
  6. Step 6: Final answer
    x = 248.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.