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Finding the Fourth Proportional to 149.14, 224.32 and 126.36

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Solution

The fourth proportional to 149.14, 224.32 and 126.36 is: 190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 224.32 = 126.36 : x
  2. Step 2: Convert to fraction form
    149.14/224.32 = 126.36/x
  3. Step 3: Cross multiply
    149.14x = 224.32 × 126.36
  4. Step 4: Simplify right side
    149.14x = 28,345.00
  5. Step 5: Solve for x
    x = 28,345.00/149.14
  6. Step 6: Final answer
    x = 190.05

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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.