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Finding the Fourth Proportional to 152.06, 226.15 and 150.44

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Solution

The fourth proportional to 152.06, 226.15 and 150.44 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 226.15 = 150.44 : x
  2. Step 2: Convert to fraction form
    152.06/226.15 = 150.44/x
  3. Step 3: Cross multiply
    152.06x = 226.15 × 150.44
  4. Step 4: Simplify right side
    152.06x = 34,022.01
  5. Step 5: Solve for x
    x = 34,022.01/152.06
  6. Step 6: Final answer
    x = 223.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.