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Finding the Fourth Proportional to 328.02, 452.62 and 197

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Solution

The fourth proportional to 328.02, 452.62 and 197 is: 271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.02 : 452.62 = 197 : x
  2. Step 2: Convert to fraction form
    328.02/452.62 = 197/x
  3. Step 3: Cross multiply
    328.02x = 452.62 × 197
  4. Step 4: Simplify right side
    328.02x = 89,166.14
  5. Step 5: Solve for x
    x = 89,166.14/328.02
  6. Step 6: Final answer
    x = 271.83

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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.