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Finding the Fourth Proportional to 218.59, 327.93 and 161.56

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Solution

The fourth proportional to 218.59, 327.93 and 161.56 is: 242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.59 : 327.93 = 161.56 : x
  2. Step 2: Convert to fraction form
    218.59/327.93 = 161.56/x
  3. Step 3: Cross multiply
    218.59x = 327.93 × 161.56
  4. Step 4: Simplify right side
    218.59x = 52,980.37
  5. Step 5: Solve for x
    x = 52,980.37/218.59
  6. Step 6: Final answer
    x = 242.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.