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Finding the Fourth Proportional to 149.09, 223.65 and 46.37

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Solution

The fourth proportional to 149.09, 223.65 and 46.37 is: 69.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.09 : 223.65 = 46.37 : x
  2. Step 2: Convert to fraction form
    149.09/223.65 = 46.37/x
  3. Step 3: Cross multiply
    149.09x = 223.65 × 46.37
  4. Step 4: Simplify right side
    149.09x = 10,369.53
  5. Step 5: Solve for x
    x = 10,369.53/149.09
  6. Step 6: Final answer
    x = 69.55

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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.