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Finding the Fourth Proportional to 227.58, 313.98 and 140.22

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Solution

The fourth proportional to 227.58, 313.98 and 140.22 is: 193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.58 : 313.98 = 140.22 : x
  2. Step 2: Convert to fraction form
    227.58/313.98 = 140.22/x
  3. Step 3: Cross multiply
    227.58x = 313.98 × 140.22
  4. Step 4: Simplify right side
    227.58x = 44,026.28
  5. Step 5: Solve for x
    x = 44,026.28/227.58
  6. Step 6: Final answer
    x = 193.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.