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Finding the Fourth Proportional to 150.19, 225.31 and 92.29

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Solution

The fourth proportional to 150.19, 225.31 and 92.29 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 225.31 = 92.29 : x
  2. Step 2: Convert to fraction form
    150.19/225.31 = 92.29/x
  3. Step 3: Cross multiply
    150.19x = 225.31 × 92.29
  4. Step 4: Simplify right side
    150.19x = 20,794.11
  5. Step 5: Solve for x
    x = 20,794.11/150.19
  6. Step 6: Final answer
    x = 138.45

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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.