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Finding the Fourth Proportional to 230.70, 345.78 and 149.70

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Solution

The fourth proportional to 230.70, 345.78 and 149.70 is: 224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 345.78 = 149.70 : x
  2. Step 2: Convert to fraction form
    230.70/345.78 = 149.70/x
  3. Step 3: Cross multiply
    230.70x = 345.78 × 149.70
  4. Step 4: Simplify right side
    230.70x = 51,763.27
  5. Step 5: Solve for x
    x = 51,763.27/230.70
  6. Step 6: Final answer
    x = 224.37

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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.