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Finding the Fourth Proportional to 218.16, 327.84 and 146.46

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Solution

The fourth proportional to 218.16, 327.84 and 146.46 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 327.84 = 146.46 : x
  2. Step 2: Convert to fraction form
    218.16/327.84 = 146.46/x
  3. Step 3: Cross multiply
    218.16x = 327.84 × 146.46
  4. Step 4: Simplify right side
    218.16x = 48,015.45
  5. Step 5: Solve for x
    x = 48,015.45/218.16
  6. Step 6: Final answer
    x = 220.09

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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.