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Finding the Fourth Proportional to 218.16, 327.21 and 146.34

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Solution

The fourth proportional to 218.16, 327.21 and 146.34 is: 219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 327.21 = 146.34 : x
  2. Step 2: Convert to fraction form
    218.16/327.21 = 146.34/x
  3. Step 3: Cross multiply
    218.16x = 327.21 × 146.34
  4. Step 4: Simplify right side
    218.16x = 47,883.91
  5. Step 5: Solve for x
    x = 47,883.91/218.16
  6. Step 6: Final answer
    x = 219.49

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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.