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Finding the Fourth Proportional to 227.85, 341.05 and 123.59

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Solution

The fourth proportional to 227.85, 341.05 and 123.59 is: 184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 341.05 = 123.59 : x
  2. Step 2: Convert to fraction form
    227.85/341.05 = 123.59/x
  3. Step 3: Cross multiply
    227.85x = 341.05 × 123.59
  4. Step 4: Simplify right side
    227.85x = 42,150.37
  5. Step 5: Solve for x
    x = 42,150.37/227.85
  6. Step 6: Final answer
    x = 184.99

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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.