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Finding the Fourth Proportional to 319.25, 440.57 and 186.50

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Solution

The fourth proportional to 319.25, 440.57 and 186.50 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 440.57 = 186.50 : x
  2. Step 2: Convert to fraction form
    319.25/440.57 = 186.50/x
  3. Step 3: Cross multiply
    319.25x = 440.57 × 186.50
  4. Step 4: Simplify right side
    319.25x = 82,167.87
  5. Step 5: Solve for x
    x = 82,167.87/319.25
  6. Step 6: Final answer
    x = 257.38

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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.