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Finding the Fourth Proportional to 249.52, 373.74 and 121

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Solution

The fourth proportional to 249.52, 373.74 and 121 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.52 : 373.74 = 121 : x
  2. Step 2: Convert to fraction form
    249.52/373.74 = 121/x
  3. Step 3: Cross multiply
    249.52x = 373.74 × 121
  4. Step 4: Simplify right side
    249.52x = 45,222.54
  5. Step 5: Solve for x
    x = 45,222.54/249.52
  6. Step 6: Final answer
    x = 181.24

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