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Finding the Fourth Proportional to 319.48, 440.91 and 186.75

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Solution

The fourth proportional to 319.48, 440.91 and 186.75 is: 257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 440.91 = 186.75 : x
  2. Step 2: Convert to fraction form
    319.48/440.91 = 186.75/x
  3. Step 3: Cross multiply
    319.48x = 440.91 × 186.75
  4. Step 4: Simplify right side
    319.48x = 82,339.94
  5. Step 5: Solve for x
    x = 82,339.94/319.48
  6. Step 6: Final answer
    x = 257.73

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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.