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Finding the Fourth Proportional to 146.21, 219.31 and 38

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Solution

The fourth proportional to 146.21, 219.31 and 38 is: 57.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 219.31 = 38 : x
  2. Step 2: Convert to fraction form
    146.21/219.31 = 38/x
  3. Step 3: Cross multiply
    146.21x = 219.31 × 38
  4. Step 4: Simplify right side
    146.21x = 8,333.78
  5. Step 5: Solve for x
    x = 8,333.78/146.21
  6. Step 6: Final answer
    x = 57.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.