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Finding the Fourth Proportional to 328.14, 452.76 and 197.22

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Solution

The fourth proportional to 328.14, 452.76 and 197.22 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 452.76 = 197.22 : x
  2. Step 2: Convert to fraction form
    328.14/452.76 = 197.22/x
  3. Step 3: Cross multiply
    328.14x = 452.76 × 197.22
  4. Step 4: Simplify right side
    328.14x = 89,293.33
  5. Step 5: Solve for x
    x = 89,293.33/328.14
  6. Step 6: Final answer
    x = 272.12

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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.