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Finding the Fourth Proportional to 227.64, 314.16 and 140.31

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Solution

The fourth proportional to 227.64, 314.16 and 140.31 is: 193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 314.16 = 140.31 : x
  2. Step 2: Convert to fraction form
    227.64/314.16 = 140.31/x
  3. Step 3: Cross multiply
    227.64x = 314.16 × 140.31
  4. Step 4: Simplify right side
    227.64x = 44,079.79
  5. Step 5: Solve for x
    x = 44,079.79/227.64
  6. Step 6: Final answer
    x = 193.64

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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.