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Finding the Fourth Proportional to 150.80, 226.32 and 102.84

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Solution

The fourth proportional to 150.80, 226.32 and 102.84 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.80 : 226.32 = 102.84 : x
  2. Step 2: Convert to fraction form
    150.80/226.32 = 102.84/x
  3. Step 3: Cross multiply
    150.80x = 226.32 × 102.84
  4. Step 4: Simplify right side
    150.80x = 23,274.75
  5. Step 5: Solve for x
    x = 23,274.75/150.80
  6. Step 6: Final answer
    x = 154.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.