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Finding the Fourth Proportional to 213.89, 295.17 and 120.63

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Solution

The fourth proportional to 213.89, 295.17 and 120.63 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 295.17 = 120.63 : x
  2. Step 2: Convert to fraction form
    213.89/295.17 = 120.63/x
  3. Step 3: Cross multiply
    213.89x = 295.17 × 120.63
  4. Step 4: Simplify right side
    213.89x = 35,606.06
  5. Step 5: Solve for x
    x = 35,606.06/213.89
  6. Step 6: Final answer
    x = 166.47

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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.