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Finding the Fourth Proportional to 231.37, 319.02 and 192.07

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Solution

The fourth proportional to 231.37, 319.02 and 192.07 is: 264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.37 : 319.02 = 192.07 : x
  2. Step 2: Convert to fraction form
    231.37/319.02 = 192.07/x
  3. Step 3: Cross multiply
    231.37x = 319.02 × 192.07
  4. Step 4: Simplify right side
    231.37x = 61,273.85
  5. Step 5: Solve for x
    x = 61,273.85/231.37
  6. Step 6: Final answer
    x = 264.83

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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.