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Finding the Fourth Proportional to 328.31, 452.93 and 197.32

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Solution

The fourth proportional to 328.31, 452.93 and 197.32 is: 272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.31 : 452.93 = 197.32 : x
  2. Step 2: Convert to fraction form
    328.31/452.93 = 197.32/x
  3. Step 3: Cross multiply
    328.31x = 452.93 × 197.32
  4. Step 4: Simplify right side
    328.31x = 89,370.03
  5. Step 5: Solve for x
    x = 89,370.03/328.31
  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.