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Finding the Fourth Proportional to 214.36, 321.54 and 180.04

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Solution

The fourth proportional to 214.36, 321.54 and 180.04 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 321.54 = 180.04 : x
  2. Step 2: Convert to fraction form
    214.36/321.54 = 180.04/x
  3. Step 3: Cross multiply
    214.36x = 321.54 × 180.04
  4. Step 4: Simplify right side
    214.36x = 57,890.06
  5. Step 5: Solve for x
    x = 57,890.06/214.36
  6. Step 6: Final answer
    x = 270.06

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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.