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Finding the Fourth Proportional to 227.48, 313.93 and 123.98

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Solution

The fourth proportional to 227.48, 313.93 and 123.98 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.48 : 313.93 = 123.98 : x
  2. Step 2: Convert to fraction form
    227.48/313.93 = 123.98/x
  3. Step 3: Cross multiply
    227.48x = 313.93 × 123.98
  4. Step 4: Simplify right side
    227.48x = 38,921.04
  5. Step 5: Solve for x
    x = 38,921.04/227.48
  6. Step 6: Final answer
    x = 171.10

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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.