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Finding the Fourth Proportional to 214.07, 295.38 and 120.80

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Solution

The fourth proportional to 214.07, 295.38 and 120.80 is: 166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.07 : 295.38 = 120.80 : x
  2. Step 2: Convert to fraction form
    214.07/295.38 = 120.80/x
  3. Step 3: Cross multiply
    214.07x = 295.38 × 120.80
  4. Step 4: Simplify right side
    214.07x = 35,680.43
  5. Step 5: Solve for x
    x = 35,680.43/214.07
  6. Step 6: Final answer
    x = 166.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.