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Finding the Fourth Proportional to 214.56, 321.30 and 180.24

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Solution

The fourth proportional to 214.56, 321.30 and 180.24 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 321.30 = 180.24 : x
  2. Step 2: Convert to fraction form
    214.56/321.30 = 180.24/x
  3. Step 3: Cross multiply
    214.56x = 321.30 × 180.24
  4. Step 4: Simplify right side
    214.56x = 57,911.11
  5. Step 5: Solve for x
    x = 57,911.11/214.56
  6. Step 6: Final answer
    x = 269.91

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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.