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Finding the Fourth Proportional to 218.40, 329.94 and 218.40

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Solution

The fourth proportional to 218.40, 329.94 and 218.40 is: 329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 329.94 = 218.40 : x
  2. Step 2: Convert to fraction form
    218.40/329.94 = 218.40/x
  3. Step 3: Cross multiply
    218.40x = 329.94 × 218.40
  4. Step 4: Simplify right side
    218.40x = 72,058.90
  5. Step 5: Solve for x
    x = 72,058.90/218.40
  6. Step 6: Final answer
    x = 329.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.