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Finding the Fourth Proportional to 328.11, 452.80 and 188.25

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Solution

The fourth proportional to 328.11, 452.80 and 188.25 is: 259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.11 : 452.80 = 188.25 : x
  2. Step 2: Convert to fraction form
    328.11/452.80 = 188.25/x
  3. Step 3: Cross multiply
    328.11x = 452.80 × 188.25
  4. Step 4: Simplify right side
    328.11x = 85,237.05
  5. Step 5: Solve for x
    x = 85,237.05/328.11
  6. Step 6: Final answer
    x = 259.78

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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.