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Finding the Fourth Proportional to 365.74, 547.60 and 249.98

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Solution

The fourth proportional to 365.74, 547.60 and 249.98 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.74 : 547.60 = 249.98 : x
  2. Step 2: Convert to fraction form
    365.74/547.60 = 249.98/x
  3. Step 3: Cross multiply
    365.74x = 547.60 × 249.98
  4. Step 4: Simplify right side
    365.74x = 136,889.05
  5. Step 5: Solve for x
    x = 136,889.05/365.74
  6. Step 6: Final answer
    x = 374.28

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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.