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Finding the Fourth Proportional to 150.72, 225.68 and 120.48

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Solution

The fourth proportional to 150.72, 225.68 and 120.48 is: 180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.72 : 225.68 = 120.48 : x
  2. Step 2: Convert to fraction form
    150.72/225.68 = 120.48/x
  3. Step 3: Cross multiply
    150.72x = 225.68 × 120.48
  4. Step 4: Simplify right side
    150.72x = 27,189.93
  5. Step 5: Solve for x
    x = 27,189.93/150.72
  6. Step 6: Final answer
    x = 180.40

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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.