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Finding the Fourth Proportional to 328.14, 452.90 and 197.19

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Solution

The fourth proportional to 328.14, 452.90 and 197.19 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 452.90 = 197.19 : x
  2. Step 2: Convert to fraction form
    328.14/452.90 = 197.19/x
  3. Step 3: Cross multiply
    328.14x = 452.90 × 197.19
  4. Step 4: Simplify right side
    328.14x = 89,306.37
  5. Step 5: Solve for x
    x = 89,306.37/328.14
  6. Step 6: Final answer
    x = 272.16

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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.