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Finding the Fourth Proportional to 189.94, 262.02 and 120.08

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Solution

The fourth proportional to 189.94, 262.02 and 120.08 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 262.02 = 120.08 : x
  2. Step 2: Convert to fraction form
    189.94/262.02 = 120.08/x
  3. Step 3: Cross multiply
    189.94x = 262.02 × 120.08
  4. Step 4: Simplify right side
    189.94x = 31,463.36
  5. Step 5: Solve for x
    x = 31,463.36/189.94
  6. Step 6: Final answer
    x = 165.65

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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.