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Finding the Fourth Proportional to 189.28, 282.66 and 164.96

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Solution

The fourth proportional to 189.28, 282.66 and 164.96 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.28 : 282.66 = 164.96 : x
  2. Step 2: Convert to fraction form
    189.28/282.66 = 164.96/x
  3. Step 3: Cross multiply
    189.28x = 282.66 × 164.96
  4. Step 4: Simplify right side
    189.28x = 46,627.59
  5. Step 5: Solve for x
    x = 46,627.59/189.28
  6. Step 6: Final answer
    x = 246.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.