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Finding the Fourth Proportional to 319.77, 441.15 and 188.73

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Solution

The fourth proportional to 319.77, 441.15 and 188.73 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.77 : 441.15 = 188.73 : x
  2. Step 2: Convert to fraction form
    319.77/441.15 = 188.73/x
  3. Step 3: Cross multiply
    319.77x = 441.15 × 188.73
  4. Step 4: Simplify right side
    319.77x = 83,258.24
  5. Step 5: Solve for x
    x = 83,258.24/319.77
  6. Step 6: Final answer
    x = 260.37

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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.