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Finding the Fourth Proportional to 227.83, 313.76 and 207.33

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Solution

The fourth proportional to 227.83, 313.76 and 207.33 is: 285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.83 : 313.76 = 207.33 : x
  2. Step 2: Convert to fraction form
    227.83/313.76 = 207.33/x
  3. Step 3: Cross multiply
    227.83x = 313.76 × 207.33
  4. Step 4: Simplify right side
    227.83x = 65,051.86
  5. Step 5: Solve for x
    x = 65,051.86/227.83
  6. Step 6: Final answer
    x = 285.53

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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.