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Finding the Fourth Proportional to 328.10, 452.82 and 197.24

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Solution

The fourth proportional to 328.10, 452.82 and 197.24 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.10 : 452.82 = 197.24 : x
  2. Step 2: Convert to fraction form
    328.10/452.82 = 197.24/x
  3. Step 3: Cross multiply
    328.10x = 452.82 × 197.24
  4. Step 4: Simplify right side
    328.10x = 89,314.22
  5. Step 5: Solve for x
    x = 89,314.22/328.10
  6. Step 6: Final answer
    x = 272.22

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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.