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Finding the Fourth Proportional to 227.10, 312.73 and 202.26

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Solution

The fourth proportional to 227.10, 312.73 and 202.26 is: 278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.10 : 312.73 = 202.26 : x
  2. Step 2: Convert to fraction form
    227.10/312.73 = 202.26/x
  3. Step 3: Cross multiply
    227.10x = 312.73 × 202.26
  4. Step 4: Simplify right side
    227.10x = 63,252.77
  5. Step 5: Solve for x
    x = 63,252.77/227.10
  6. Step 6: Final answer
    x = 278.52

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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.