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Finding the Fourth Proportional to 327.70, 452.21 and 187.84

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Solution

The fourth proportional to 327.70, 452.21 and 187.84 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 452.21 = 187.84 : x
  2. Step 2: Convert to fraction form
    327.70/452.21 = 187.84/x
  3. Step 3: Cross multiply
    327.70x = 452.21 × 187.84
  4. Step 4: Simplify right side
    327.70x = 84,943.13
  5. Step 5: Solve for x
    x = 84,943.13/327.70
  6. Step 6: Final answer
    x = 259.21

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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.