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Finding the Fourth Proportional to 174.46, 262.23 and 150.70

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Solution

The fourth proportional to 174.46, 262.23 and 150.70 is: 226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 262.23 = 150.70 : x
  2. Step 2: Convert to fraction form
    174.46/262.23 = 150.70/x
  3. Step 3: Cross multiply
    174.46x = 262.23 × 150.70
  4. Step 4: Simplify right side
    174.46x = 39,518.06
  5. Step 5: Solve for x
    x = 39,518.06/174.46
  6. Step 6: Final answer
    x = 226.52

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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.