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Finding the Fourth Proportional to 189.96, 262.14 and 107.07

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Solution

The fourth proportional to 189.96, 262.14 and 107.07 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 262.14 = 107.07 : x
  2. Step 2: Convert to fraction form
    189.96/262.14 = 107.07/x
  3. Step 3: Cross multiply
    189.96x = 262.14 × 107.07
  4. Step 4: Simplify right side
    189.96x = 28,066.02
  5. Step 5: Solve for x
    x = 28,066.02/189.96
  6. Step 6: Final answer
    x = 147.75

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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.