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Finding the Fourth Proportional to 249.25, 374.01 and 121

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Solution

The fourth proportional to 249.25, 374.01 and 121 is: 181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.25 : 374.01 = 121 : x
  2. Step 2: Convert to fraction form
    249.25/374.01 = 121/x
  3. Step 3: Cross multiply
    249.25x = 374.01 × 121
  4. Step 4: Simplify right side
    249.25x = 45,255.21
  5. Step 5: Solve for x
    x = 45,255.21/249.25
  6. Step 6: Final answer
    x = 181.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.