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Finding the Fourth Proportional to 328.69, 453.71 and 197.67

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Solution

The fourth proportional to 328.69, 453.71 and 197.67 is: 272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 453.71 = 197.67 : x
  2. Step 2: Convert to fraction form
    328.69/453.71 = 197.67/x
  3. Step 3: Cross multiply
    328.69x = 453.71 × 197.67
  4. Step 4: Simplify right side
    328.69x = 89,683.87
  5. Step 5: Solve for x
    x = 89,683.87/328.69
  6. Step 6: Final answer
    x = 272.86

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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.