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Finding the Fourth Proportional to 328.23, 452.98 and 195.46

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Solution

The fourth proportional to 328.23, 452.98 and 195.46 is: 269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.23 : 452.98 = 195.46 : x
  2. Step 2: Convert to fraction form
    328.23/452.98 = 195.46/x
  3. Step 3: Cross multiply
    328.23x = 452.98 × 195.46
  4. Step 4: Simplify right side
    328.23x = 88,539.47
  5. Step 5: Solve for x
    x = 88,539.47/328.23
  6. Step 6: Final answer
    x = 269.75

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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.