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Finding the Fourth Proportional to 319.71, 479.60 and 137.08

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Solution

The fourth proportional to 319.71, 479.60 and 137.08 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 479.60 = 137.08 : x
  2. Step 2: Convert to fraction form
    319.71/479.60 = 137.08/x
  3. Step 3: Cross multiply
    319.71x = 479.60 × 137.08
  4. Step 4: Simplify right side
    319.71x = 65,743.57
  5. Step 5: Solve for x
    x = 65,743.57/319.71
  6. Step 6: Final answer
    x = 205.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.