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Finding the Fourth Proportional to 227.43, 313.84 and 123.93

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Solution

The fourth proportional to 227.43, 313.84 and 123.93 is: 171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.43 : 313.84 = 123.93 : x
  2. Step 2: Convert to fraction form
    227.43/313.84 = 123.93/x
  3. Step 3: Cross multiply
    227.43x = 313.84 × 123.93
  4. Step 4: Simplify right side
    227.43x = 38,892.62
  5. Step 5: Solve for x
    x = 38,892.62/227.43
  6. Step 6: Final answer
    x = 171.01

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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.