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Finding the Fourth Proportional to 150.56, 225.92 and 78.48

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Solution

The fourth proportional to 150.56, 225.92 and 78.48 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 225.92 = 78.48 : x
  2. Step 2: Convert to fraction form
    150.56/225.92 = 78.48/x
  3. Step 3: Cross multiply
    150.56x = 225.92 × 78.48
  4. Step 4: Simplify right side
    150.56x = 17,730.20
  5. Step 5: Solve for x
    x = 17,730.20/150.56
  6. Step 6: Final answer
    x = 117.76

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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.