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Finding the Fourth Proportional to 227.40, 314.66 and 194.15

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Solution

The fourth proportional to 227.40, 314.66 and 194.15 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.40 : 314.66 = 194.15 : x
  2. Step 2: Convert to fraction form
    227.40/314.66 = 194.15/x
  3. Step 3: Cross multiply
    227.40x = 314.66 × 194.15
  4. Step 4: Simplify right side
    227.40x = 61,091.24
  5. Step 5: Solve for x
    x = 61,091.24/227.40
  6. Step 6: Final answer
    x = 268.65

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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.