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Finding the Fourth Proportional to 214.41, 295.82 and 121.17

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Solution

The fourth proportional to 214.41, 295.82 and 121.17 is: 167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.41 : 295.82 = 121.17 : x
  2. Step 2: Convert to fraction form
    214.41/295.82 = 121.17/x
  3. Step 3: Cross multiply
    214.41x = 295.82 × 121.17
  4. Step 4: Simplify right side
    214.41x = 35,843.90
  5. Step 5: Solve for x
    x = 35,843.90/214.41
  6. Step 6: Final answer
    x = 167.17

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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.