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Finding the Fourth Proportional to 227.79, 314.34 and 190.86

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Solution

The fourth proportional to 227.79, 314.34 and 190.86 is: 263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.79 : 314.34 = 190.86 : x
  2. Step 2: Convert to fraction form
    227.79/314.34 = 190.86/x
  3. Step 3: Cross multiply
    227.79x = 314.34 × 190.86
  4. Step 4: Simplify right side
    227.79x = 59,994.93
  5. Step 5: Solve for x
    x = 59,994.93/227.79
  6. Step 6: Final answer
    x = 263.38

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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.