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Finding the Fourth Proportional to 214.82, 322.50 and 180.80

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Solution

The fourth proportional to 214.82, 322.50 and 180.80 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.82 : 322.50 = 180.80 : x
  2. Step 2: Convert to fraction form
    214.82/322.50 = 180.80/x
  3. Step 3: Cross multiply
    214.82x = 322.50 × 180.80
  4. Step 4: Simplify right side
    214.82x = 58,308.00
  5. Step 5: Solve for x
    x = 58,308.00/214.82
  6. Step 6: Final answer
    x = 271.43

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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.