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Finding the Fourth Proportional to 227.45, 313.71 and 194.64

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Solution

The fourth proportional to 227.45, 313.71 and 194.64 is: 268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.45 : 313.71 = 194.64 : x
  2. Step 2: Convert to fraction form
    227.45/313.71 = 194.64/x
  3. Step 3: Cross multiply
    227.45x = 313.71 × 194.64
  4. Step 4: Simplify right side
    227.45x = 61,060.51
  5. Step 5: Solve for x
    x = 61,060.51/227.45
  6. Step 6: Final answer
    x = 268.46

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Why These Related Problems?

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