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Finding the Fourth Proportional to 229.78, 315.65 and 190.90

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Solution

The fourth proportional to 229.78, 315.65 and 190.90 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 315.65 = 190.90 : x
  2. Step 2: Convert to fraction form
    229.78/315.65 = 190.90/x
  3. Step 3: Cross multiply
    229.78x = 315.65 × 190.90
  4. Step 4: Simplify right side
    229.78x = 60,257.59
  5. Step 5: Solve for x
    x = 60,257.59/229.78
  6. Step 6: Final answer
    x = 262.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.