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Finding the Fourth Proportional to 150.14, 226.08 and 109.84

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Solution

The fourth proportional to 150.14, 226.08 and 109.84 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 226.08 = 109.84 : x
  2. Step 2: Convert to fraction form
    150.14/226.08 = 109.84/x
  3. Step 3: Cross multiply
    150.14x = 226.08 × 109.84
  4. Step 4: Simplify right side
    150.14x = 24,832.63
  5. Step 5: Solve for x
    x = 24,832.63/150.14
  6. Step 6: Final answer
    x = 165.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.