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Finding the Fourth Proportional to 249.37, 374.02 and 141.10

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Solution

The fourth proportional to 249.37, 374.02 and 141.10 is: 211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.37 : 374.02 = 141.10 : x
  2. Step 2: Convert to fraction form
    249.37/374.02 = 141.10/x
  3. Step 3: Cross multiply
    249.37x = 374.02 × 141.10
  4. Step 4: Simplify right side
    249.37x = 52,772.93
  5. Step 5: Solve for x
    x = 52,772.93/249.37
  6. Step 6: Final answer
    x = 211.63

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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.