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Finding the Fourth Proportional to 218.76, 327.78 and 137.58

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Solution

The fourth proportional to 218.76, 327.78 and 137.58 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 327.78 = 137.58 : x
  2. Step 2: Convert to fraction form
    218.76/327.78 = 137.58/x
  3. Step 3: Cross multiply
    218.76x = 327.78 × 137.58
  4. Step 4: Simplify right side
    218.76x = 45,095.97
  5. Step 5: Solve for x
    x = 45,095.97/218.76
  6. Step 6: Final answer
    x = 206.14

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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.