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Finding the Fourth Proportional to 218.34, 326.16 and 214.50

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Solution

The fourth proportional to 218.34, 326.16 and 214.50 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.34 : 326.16 = 214.50 : x
  2. Step 2: Convert to fraction form
    218.34/326.16 = 214.50/x
  3. Step 3: Cross multiply
    218.34x = 326.16 × 214.50
  4. Step 4: Simplify right side
    218.34x = 69,961.32
  5. Step 5: Solve for x
    x = 69,961.32/218.34
  6. Step 6: Final answer
    x = 320.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.