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Finding the Fourth Proportional to 357.14, 492.86 and 226.32

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Solution

The fourth proportional to 357.14, 492.86 and 226.32 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.14 : 492.86 = 226.32 : x
  2. Step 2: Convert to fraction form
    357.14/492.86 = 226.32/x
  3. Step 3: Cross multiply
    357.14x = 492.86 × 226.32
  4. Step 4: Simplify right side
    357.14x = 111,542.94
  5. Step 5: Solve for x
    x = 111,542.94/357.14
  6. Step 6: Final answer
    x = 312.33

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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.