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Finding the Fourth Proportional to 328.70, 453.64 and 196

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Solution

The fourth proportional to 328.70, 453.64 and 196 is: 270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.70 : 453.64 = 196 : x
  2. Step 2: Convert to fraction form
    328.70/453.64 = 196/x
  3. Step 3: Cross multiply
    328.70x = 453.64 × 196
  4. Step 4: Simplify right side
    328.70x = 88,913.44
  5. Step 5: Solve for x
    x = 88,913.44/328.70
  6. Step 6: Final answer
    x = 270.50

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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.