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Finding the Fourth Proportional to 149.02, 223.26 and 133.90

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Solution

The fourth proportional to 149.02, 223.26 and 133.90 is: 200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.02 : 223.26 = 133.90 : x
  2. Step 2: Convert to fraction form
    149.02/223.26 = 133.90/x
  3. Step 3: Cross multiply
    149.02x = 223.26 × 133.90
  4. Step 4: Simplify right side
    149.02x = 29,894.51
  5. Step 5: Solve for x
    x = 29,894.51/149.02
  6. Step 6: Final answer
    x = 200.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.