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Finding the Fourth Proportional to 214.33, 320.88 and 111.37

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Solution

The fourth proportional to 214.33, 320.88 and 111.37 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.33 : 320.88 = 111.37 : x
  2. Step 2: Convert to fraction form
    214.33/320.88 = 111.37/x
  3. Step 3: Cross multiply
    214.33x = 320.88 × 111.37
  4. Step 4: Simplify right side
    214.33x = 35,736.41
  5. Step 5: Solve for x
    x = 35,736.41/214.33
  6. Step 6: Final answer
    x = 166.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.