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Finding the Fourth Proportional to 227.41, 340.61 and 146.00

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Solution

The fourth proportional to 227.41, 340.61 and 146.00 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.41 : 340.61 = 146.00 : x
  2. Step 2: Convert to fraction form
    227.41/340.61 = 146.00/x
  3. Step 3: Cross multiply
    227.41x = 340.61 × 146.00
  4. Step 4: Simplify right side
    227.41x = 49,729.18
  5. Step 5: Solve for x
    x = 49,729.18/227.41
  6. Step 6: Final answer
    x = 218.68

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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.