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Finding the Fourth Proportional to 328.14, 452.87 and 197.14

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Solution

The fourth proportional to 328.14, 452.87 and 197.14 is: 272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.14 : 452.87 = 197.14 : x
  2. Step 2: Convert to fraction form
    328.14/452.87 = 197.14/x
  3. Step 3: Cross multiply
    328.14x = 452.87 × 197.14
  4. Step 4: Simplify right side
    328.14x = 89,278.79
  5. Step 5: Solve for x
    x = 89,278.79/328.14
  6. Step 6: Final answer
    x = 272.08

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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.