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Finding the Fourth Proportional to 227.40, 341.06 and 188.66

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Solution

The fourth proportional to 227.40, 341.06 and 188.66 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 341.06 = 188.66 : x
  2. Step 2: Convert to fraction form
    227.40/341.06 = 188.66/x
  3. Step 3: Cross multiply
    227.40x = 341.06 × 188.66
  4. Step 4: Simplify right side
    227.40x = 64,341.73
  5. Step 5: Solve for x
    x = 64,341.73/227.40
  6. Step 6: Final answer
    x = 282.95

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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.