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Finding the Fourth Proportional to 214.09, 295.60 and 140.56

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Solution

The fourth proportional to 214.09, 295.60 and 140.56 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.09 : 295.60 = 140.56 : x
  2. Step 2: Convert to fraction form
    214.09/295.60 = 140.56/x
  3. Step 3: Cross multiply
    214.09x = 295.60 × 140.56
  4. Step 4: Simplify right side
    214.09x = 41,549.54
  5. Step 5: Solve for x
    x = 41,549.54/214.09
  6. Step 6: Final answer
    x = 194.07

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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.