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Finding the Fourth Proportional to 214.12, 295.05 and 140.31

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Solution

The fourth proportional to 214.12, 295.05 and 140.31 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 295.05 = 140.31 : x
  2. Step 2: Convert to fraction form
    214.12/295.05 = 140.31/x
  3. Step 3: Cross multiply
    214.12x = 295.05 × 140.31
  4. Step 4: Simplify right side
    214.12x = 41,397.89
  5. Step 5: Solve for x
    x = 41,397.89/214.12
  6. Step 6: Final answer
    x = 193.34

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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.