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Finding the Fourth Proportional to 227.03, 312.80 and 189.55

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Solution

The fourth proportional to 227.03, 312.80 and 189.55 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.03 : 312.80 = 189.55 : x
  2. Step 2: Convert to fraction form
    227.03/312.80 = 189.55/x
  3. Step 3: Cross multiply
    227.03x = 312.80 × 189.55
  4. Step 4: Simplify right side
    227.03x = 59,290.49
  5. Step 5: Solve for x
    x = 59,290.49/227.03
  6. Step 6: Final answer
    x = 261.16

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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.