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Finding the Fourth Proportional to 189.78, 284.40 and 164.40

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Solution

The fourth proportional to 189.78, 284.40 and 164.40 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.40 = 164.40 : x
  2. Step 2: Convert to fraction form
    189.78/284.40 = 164.40/x
  3. Step 3: Cross multiply
    189.78x = 284.40 × 164.40
  4. Step 4: Simplify right side
    189.78x = 46,755.36
  5. Step 5: Solve for x
    x = 46,755.36/189.78
  6. Step 6: Final answer
    x = 246.37

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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.