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Finding the Fourth Proportional to 214.37, 295.81 and 131.44

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Solution

The fourth proportional to 214.37, 295.81 and 131.44 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 295.81 = 131.44 : x
  2. Step 2: Convert to fraction form
    214.37/295.81 = 131.44/x
  3. Step 3: Cross multiply
    214.37x = 295.81 × 131.44
  4. Step 4: Simplify right side
    214.37x = 38,881.27
  5. Step 5: Solve for x
    x = 38,881.27/214.37
  6. Step 6: Final answer
    x = 181.37

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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.