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Finding the Fourth Proportional to 319.79, 479.67 and 197.67

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Solution

The fourth proportional to 319.79, 479.67 and 197.67 is: 296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.79 : 479.67 = 197.67 : x
  2. Step 2: Convert to fraction form
    319.79/479.67 = 197.67/x
  3. Step 3: Cross multiply
    319.79x = 479.67 × 197.67
  4. Step 4: Simplify right side
    319.79x = 94,816.37
  5. Step 5: Solve for x
    x = 94,816.37/319.79
  6. Step 6: Final answer
    x = 296.50

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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.