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Finding the Fourth Proportional to 327.60, 452.08 and 187.69

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Solution

The fourth proportional to 327.60, 452.08 and 187.69 is: 259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.08 = 187.69 : x
  2. Step 2: Convert to fraction form
    327.60/452.08 = 187.69/x
  3. Step 3: Cross multiply
    327.60x = 452.08 × 187.69
  4. Step 4: Simplify right side
    327.60x = 84,851.49
  5. Step 5: Solve for x
    x = 84,851.49/327.60
  6. Step 6: Final answer
    x = 259.01

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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.