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Finding the Fourth Proportional to 319.96, 479.76 and 137.35

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Solution

The fourth proportional to 319.96, 479.76 and 137.35 is: 205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 479.76 = 137.35 : x
  2. Step 2: Convert to fraction form
    319.96/479.76 = 137.35/x
  3. Step 3: Cross multiply
    319.96x = 479.76 × 137.35
  4. Step 4: Simplify right side
    319.96x = 65,895.04
  5. Step 5: Solve for x
    x = 65,895.04/319.96
  6. Step 6: Final answer
    x = 205.95

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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.