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Finding the Fourth Proportional to 149.04, 222.45 and 112.80

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Solution

The fourth proportional to 149.04, 222.45 and 112.80 is: 168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.04 : 222.45 = 112.80 : x
  2. Step 2: Convert to fraction form
    149.04/222.45 = 112.80/x
  3. Step 3: Cross multiply
    149.04x = 222.45 × 112.80
  4. Step 4: Simplify right side
    149.04x = 25,092.36
  5. Step 5: Solve for x
    x = 25,092.36/149.04
  6. Step 6: Final answer
    x = 168.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.