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Finding the Fourth Proportional to 230.70, 346.06 and 149.60

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Solution

The fourth proportional to 230.70, 346.06 and 149.60 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 346.06 = 149.60 : x
  2. Step 2: Convert to fraction form
    230.70/346.06 = 149.60/x
  3. Step 3: Cross multiply
    230.70x = 346.06 × 149.60
  4. Step 4: Simplify right side
    230.70x = 51,770.58
  5. Step 5: Solve for x
    x = 51,770.58/230.70
  6. Step 6: Final answer
    x = 224.41

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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.