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Finding the Fourth Proportional to 214.32, 321.38 and 116.80

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Solution

The fourth proportional to 214.32, 321.38 and 116.80 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.32 : 321.38 = 116.80 : x
  2. Step 2: Convert to fraction form
    214.32/321.38 = 116.80/x
  3. Step 3: Cross multiply
    214.32x = 321.38 × 116.80
  4. Step 4: Simplify right side
    214.32x = 37,537.18
  5. Step 5: Solve for x
    x = 37,537.18/214.32
  6. Step 6: Final answer
    x = 175.15

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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.