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Finding the Fourth Proportional to 150.23, 225.38 and 42.02

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Solution

The fourth proportional to 150.23, 225.38 and 42.02 is: 63.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 225.38 = 42.02 : x
  2. Step 2: Convert to fraction form
    150.23/225.38 = 42.02/x
  3. Step 3: Cross multiply
    150.23x = 225.38 × 42.02
  4. Step 4: Simplify right side
    150.23x = 9,469.24
  5. Step 5: Solve for x
    x = 9,469.24/150.23
  6. Step 6: Final answer
    x = 63.03

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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.