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Finding the Fourth Proportional to 319.41, 440.74 and 179.51

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Solution

The fourth proportional to 319.41, 440.74 and 179.51 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 440.74 = 179.51 : x
  2. Step 2: Convert to fraction form
    319.41/440.74 = 179.51/x
  3. Step 3: Cross multiply
    319.41x = 440.74 × 179.51
  4. Step 4: Simplify right side
    319.41x = 79,116.50
  5. Step 5: Solve for x
    x = 79,116.50/319.41
  6. Step 6: Final answer
    x = 247.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.