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Finding the Fourth Proportional to 214.50, 295.44 and 181.56

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Solution

The fourth proportional to 214.50, 295.44 and 181.56 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 295.44 = 181.56 : x
  2. Step 2: Convert to fraction form
    214.50/295.44 = 181.56/x
  3. Step 3: Cross multiply
    214.50x = 295.44 × 181.56
  4. Step 4: Simplify right side
    214.50x = 53,640.09
  5. Step 5: Solve for x
    x = 53,640.09/214.50
  6. Step 6: Final answer
    x = 250.07

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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.