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Finding the Fourth Proportional to 189.71, 284.84 and 165.95

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Solution

The fourth proportional to 189.71, 284.84 and 165.95 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.71 : 284.84 = 165.95 : x
  2. Step 2: Convert to fraction form
    189.71/284.84 = 165.95/x
  3. Step 3: Cross multiply
    189.71x = 284.84 × 165.95
  4. Step 4: Simplify right side
    189.71x = 47,266.94
  5. Step 5: Solve for x
    x = 47,266.94/189.71
  6. Step 6: Final answer
    x = 249.16

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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.