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Finding the Fourth Proportional to 150.22, 223.86 and 146.03

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Solution

The fourth proportional to 150.22, 223.86 and 146.03 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.22 : 223.86 = 146.03 : x
  2. Step 2: Convert to fraction form
    150.22/223.86 = 146.03/x
  3. Step 3: Cross multiply
    150.22x = 223.86 × 146.03
  4. Step 4: Simplify right side
    150.22x = 32,690.84
  5. Step 5: Solve for x
    x = 32,690.84/150.22
  6. Step 6: Final answer
    x = 217.62

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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.