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Finding the Fourth Proportional to 227.98, 314.76 and 140.77

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Solution

The fourth proportional to 227.98, 314.76 and 140.77 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.98 : 314.76 = 140.77 : x
  2. Step 2: Convert to fraction form
    227.98/314.76 = 140.77/x
  3. Step 3: Cross multiply
    227.98x = 314.76 × 140.77
  4. Step 4: Simplify right side
    227.98x = 44,308.77
  5. Step 5: Solve for x
    x = 44,308.77/227.98
  6. Step 6: Final answer
    x = 194.35

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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.