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Finding the Fourth Proportional to 319.91, 441.38 and 188.89

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Solution

The fourth proportional to 319.91, 441.38 and 188.89 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.91 : 441.38 = 188.89 : x
  2. Step 2: Convert to fraction form
    319.91/441.38 = 188.89/x
  3. Step 3: Cross multiply
    319.91x = 441.38 × 188.89
  4. Step 4: Simplify right side
    319.91x = 83,371.64
  5. Step 5: Solve for x
    x = 83,371.64/319.91
  6. Step 6: Final answer
    x = 260.61

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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.