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Finding the Fourth Proportional to 231.23, 319.04 and 137.93

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Solution

The fourth proportional to 231.23, 319.04 and 137.93 is: 190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.23 : 319.04 = 137.93 : x
  2. Step 2: Convert to fraction form
    231.23/319.04 = 137.93/x
  3. Step 3: Cross multiply
    231.23x = 319.04 × 137.93
  4. Step 4: Simplify right side
    231.23x = 44,005.30
  5. Step 5: Solve for x
    x = 44,005.30/231.23
  6. Step 6: Final answer
    x = 190.31

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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.