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Finding the Fourth Proportional to 149.63, 224.16 and 98.12

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Solution

The fourth proportional to 149.63, 224.16 and 98.12 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 224.16 = 98.12 : x
  2. Step 2: Convert to fraction form
    149.63/224.16 = 98.12/x
  3. Step 3: Cross multiply
    149.63x = 224.16 × 98.12
  4. Step 4: Simplify right side
    149.63x = 21,993.83
  5. Step 5: Solve for x
    x = 21,993.83/149.63
  6. Step 6: Final answer
    x = 146.99

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Why These Related Problems?

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