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Finding the Fourth Proportional to 214.67, 322.01 and 119.09

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Solution

The fourth proportional to 214.67, 322.01 and 119.09 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.67 : 322.01 = 119.09 : x
  2. Step 2: Convert to fraction form
    214.67/322.01 = 119.09/x
  3. Step 3: Cross multiply
    214.67x = 322.01 × 119.09
  4. Step 4: Simplify right side
    214.67x = 38,348.83
  5. Step 5: Solve for x
    x = 38,348.83/214.67
  6. Step 6: Final answer
    x = 178.64

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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.