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Finding the Fourth Proportional to 150.08, 223.88 and 143.20

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Solution

The fourth proportional to 150.08, 223.88 and 143.20 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 223.88 = 143.20 : x
  2. Step 2: Convert to fraction form
    150.08/223.88 = 143.20/x
  3. Step 3: Cross multiply
    150.08x = 223.88 × 143.20
  4. Step 4: Simplify right side
    150.08x = 32,059.62
  5. Step 5: Solve for x
    x = 32,059.62/150.08
  6. Step 6: Final answer
    x = 213.62

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