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Finding the Fourth Proportional to 319.18, 440.84 and 214.09

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Solution

The fourth proportional to 319.18, 440.84 and 214.09 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.18 : 440.84 = 214.09 : x
  2. Step 2: Convert to fraction form
    319.18/440.84 = 214.09/x
  3. Step 3: Cross multiply
    319.18x = 440.84 × 214.09
  4. Step 4: Simplify right side
    319.18x = 94,379.44
  5. Step 5: Solve for x
    x = 94,379.44/319.18
  6. Step 6: Final answer
    x = 295.69

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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.