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Finding the Fourth Proportional to 327.49, 452.00 and 187.70

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Solution

The fourth proportional to 327.49, 452.00 and 187.70 is: 259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.49 : 452.00 = 187.70 : x
  2. Step 2: Convert to fraction form
    327.49/452.00 = 187.70/x
  3. Step 3: Cross multiply
    327.49x = 452.00 × 187.70
  4. Step 4: Simplify right side
    327.49x = 84,839.93
  5. Step 5: Solve for x
    x = 84,839.93/327.49
  6. Step 6: Final answer
    x = 259.06

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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.