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Finding the Fourth Proportional to 319.62, 441.06 and 188.64

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Solution

The fourth proportional to 319.62, 441.06 and 188.64 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.62 : 441.06 = 188.64 : x
  2. Step 2: Convert to fraction form
    319.62/441.06 = 188.64/x
  3. Step 3: Cross multiply
    319.62x = 441.06 × 188.64
  4. Step 4: Simplify right side
    319.62x = 83,201.56
  5. Step 5: Solve for x
    x = 83,201.56/319.62
  6. Step 6: Final answer
    x = 260.31

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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.