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Finding the Fourth Proportional to 319.30, 440.74 and 188.44

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Solution

The fourth proportional to 319.30, 440.74 and 188.44 is: 260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.30 : 440.74 = 188.44 : x
  2. Step 2: Convert to fraction form
    319.30/440.74 = 188.44/x
  3. Step 3: Cross multiply
    319.30x = 440.74 × 188.44
  4. Step 4: Simplify right side
    319.30x = 83,053.05
  5. Step 5: Solve for x
    x = 83,053.05/319.30
  6. Step 6: Final answer
    x = 260.11

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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.