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Finding the Fourth Proportional to 227.54, 314.16 and 140.26

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Solution

The fourth proportional to 227.54, 314.16 and 140.26 is: 193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 314.16 = 140.26 : x
  2. Step 2: Convert to fraction form
    227.54/314.16 = 140.26/x
  3. Step 3: Cross multiply
    227.54x = 314.16 × 140.26
  4. Step 4: Simplify right side
    227.54x = 44,064.08
  5. Step 5: Solve for x
    x = 44,064.08/227.54
  6. Step 6: Final answer
    x = 193.65

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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.