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Finding the Fourth Proportional to 150.23, 225.38 and 104.87

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Solution

The fourth proportional to 150.23, 225.38 and 104.87 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 225.38 = 104.87 : x
  2. Step 2: Convert to fraction form
    150.23/225.38 = 104.87/x
  3. Step 3: Cross multiply
    150.23x = 225.38 × 104.87
  4. Step 4: Simplify right side
    150.23x = 23,634.47
  5. Step 5: Solve for x
    x = 23,634.47/150.23
  6. Step 6: Final answer
    x = 157.33

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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.