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Finding the Fourth Proportional to 227.78, 314.32 and 133.26

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Solution

The fourth proportional to 227.78, 314.32 and 133.26 is: 183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.78 : 314.32 = 133.26 : x
  2. Step 2: Convert to fraction form
    227.78/314.32 = 133.26/x
  3. Step 3: Cross multiply
    227.78x = 314.32 × 133.26
  4. Step 4: Simplify right side
    227.78x = 41,885.95
  5. Step 5: Solve for x
    x = 41,885.95/227.78
  6. Step 6: Final answer
    x = 183.89

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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.