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Finding the Fourth Proportional to 251.63, 377.43 and 97.49

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Solution

The fourth proportional to 251.63, 377.43 and 97.49 is: 146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 377.43 = 97.49 : x
  2. Step 2: Convert to fraction form
    251.63/377.43 = 97.49/x
  3. Step 3: Cross multiply
    251.63x = 377.43 × 97.49
  4. Step 4: Simplify right side
    251.63x = 36,795.65
  5. Step 5: Solve for x
    x = 36,795.65/251.63
  6. Step 6: Final answer
    x = 146.23

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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.