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Finding the Fourth Proportional to 319.24, 440.54 and 179.36

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Solution

The fourth proportional to 319.24, 440.54 and 179.36 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 440.54 = 179.36 : x
  2. Step 2: Convert to fraction form
    319.24/440.54 = 179.36/x
  3. Step 3: Cross multiply
    319.24x = 440.54 × 179.36
  4. Step 4: Simplify right side
    319.24x = 79,015.25
  5. Step 5: Solve for x
    x = 79,015.25/319.24
  6. Step 6: Final answer
    x = 247.51

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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.