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Finding the Fourth Proportional to 319.74, 441.36 and 188.79

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Solution

The fourth proportional to 319.74, 441.36 and 188.79 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.74 : 441.36 = 188.79 : x
  2. Step 2: Convert to fraction form
    319.74/441.36 = 188.79/x
  3. Step 3: Cross multiply
    319.74x = 441.36 × 188.79
  4. Step 4: Simplify right side
    319.74x = 83,324.35
  5. Step 5: Solve for x
    x = 83,324.35/319.74
  6. Step 6: Final answer
    x = 260.60

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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.