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Finding the Fourth Proportional to 227.77, 314.37 and 140.53

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Solution

The fourth proportional to 227.77, 314.37 and 140.53 is: 193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.77 : 314.37 = 140.53 : x
  2. Step 2: Convert to fraction form
    227.77/314.37 = 140.53/x
  3. Step 3: Cross multiply
    227.77x = 314.37 × 140.53
  4. Step 4: Simplify right side
    227.77x = 44,178.42
  5. Step 5: Solve for x
    x = 44,178.42/227.77
  6. Step 6: Final answer
    x = 193.96

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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.