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Finding the Fourth Proportional to 319.69, 441.07 and 188.61

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Solution

The fourth proportional to 319.69, 441.07 and 188.61 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.69 : 441.07 = 188.61 : x
  2. Step 2: Convert to fraction form
    319.69/441.07 = 188.61/x
  3. Step 3: Cross multiply
    319.69x = 441.07 × 188.61
  4. Step 4: Simplify right side
    319.69x = 83,190.21
  5. Step 5: Solve for x
    x = 83,190.21/319.69
  6. Step 6: Final answer
    x = 260.22

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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.