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Finding the Fourth Proportional to 150.35, 226.62 and 123.62

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Solution

The fourth proportional to 150.35, 226.62 and 123.62 is: 186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.35 : 226.62 = 123.62 : x
  2. Step 2: Convert to fraction form
    150.35/226.62 = 123.62/x
  3. Step 3: Cross multiply
    150.35x = 226.62 × 123.62
  4. Step 4: Simplify right side
    150.35x = 28,013.63
  5. Step 5: Solve for x
    x = 28,013.63/150.35
  6. Step 6: Final answer
    x = 186.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.