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Finding the Fourth Proportional to 149.45, 223.94 and 98.07

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Solution

The fourth proportional to 149.45, 223.94 and 98.07 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 223.94 = 98.07 : x
  2. Step 2: Convert to fraction form
    149.45/223.94 = 98.07/x
  3. Step 3: Cross multiply
    149.45x = 223.94 × 98.07
  4. Step 4: Simplify right side
    149.45x = 21,962.50
  5. Step 5: Solve for x
    x = 21,962.50/149.45
  6. Step 6: Final answer
    x = 146.96

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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.