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Finding the Fourth Proportional to 328.17, 452.92 and 197.19

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Solution

The fourth proportional to 328.17, 452.92 and 197.19 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.17 : 452.92 = 197.19 : x
  2. Step 2: Convert to fraction form
    328.17/452.92 = 197.19/x
  3. Step 3: Cross multiply
    328.17x = 452.92 × 197.19
  4. Step 4: Simplify right side
    328.17x = 89,311.29
  5. Step 5: Solve for x
    x = 89,311.29/328.17
  6. Step 6: Final answer
    x = 272.15

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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.