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Finding the Fourth Proportional to 214.31, 295.71 and 119.78

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Solution

The fourth proportional to 214.31, 295.71 and 119.78 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 295.71 = 119.78 : x
  2. Step 2: Convert to fraction form
    214.31/295.71 = 119.78/x
  3. Step 3: Cross multiply
    214.31x = 295.71 × 119.78
  4. Step 4: Simplify right side
    214.31x = 35,418.67
  5. Step 5: Solve for x
    x = 35,418.67/214.31
  6. Step 6: Final answer
    x = 165.27

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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.