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Finding the Fourth Proportional to 214.21, 321.00 and 116.63

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Solution

The fourth proportional to 214.21, 321.00 and 116.63 is: 174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.21 : 321.00 = 116.63 : x
  2. Step 2: Convert to fraction form
    214.21/321.00 = 116.63/x
  3. Step 3: Cross multiply
    214.21x = 321.00 × 116.63
  4. Step 4: Simplify right side
    214.21x = 37,436.04
  5. Step 5: Solve for x
    x = 37,436.04/214.21
  6. Step 6: Final answer
    x = 174.77

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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.