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Finding the Fourth Proportional to 319.34, 440.64 and 179.43

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Solution

The fourth proportional to 319.34, 440.64 and 179.43 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.34 : 440.64 = 179.43 : x
  2. Step 2: Convert to fraction form
    319.34/440.64 = 179.43/x
  3. Step 3: Cross multiply
    319.34x = 440.64 × 179.43
  4. Step 4: Simplify right side
    319.34x = 79,064.04
  5. Step 5: Solve for x
    x = 79,064.04/319.34
  6. Step 6: Final answer
    x = 247.59

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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.