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Finding the Fourth Proportional to 189.94, 262.16 and 107.07

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Solution

The fourth proportional to 189.94, 262.16 and 107.07 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 262.16 = 107.07 : x
  2. Step 2: Convert to fraction form
    189.94/262.16 = 107.07/x
  3. Step 3: Cross multiply
    189.94x = 262.16 × 107.07
  4. Step 4: Simplify right side
    189.94x = 28,069.45
  5. Step 5: Solve for x
    x = 28,069.45/189.94
  6. Step 6: Final answer
    x = 147.78

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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.