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Finding the Fourth Proportional to 149.09, 224.09 and 145.90

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Solution

The fourth proportional to 149.09, 224.09 and 145.90 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 224.09 = 145.90 : x
  2. Step 2: Convert to fraction form
    149.09/224.09 = 145.90/x
  3. Step 3: Cross multiply
    149.09x = 224.09 × 145.90
  4. Step 4: Simplify right side
    149.09x = 32,692.88
  5. Step 5: Solve for x
    x = 32,692.88/149.09
  6. Step 6: Final answer
    x = 219.29

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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.