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Finding the Fourth Proportional to 251.37, 377.10 and 97.38

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Solution

The fourth proportional to 251.37, 377.10 and 97.38 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.37 : 377.10 = 97.38 : x
  2. Step 2: Convert to fraction form
    251.37/377.10 = 97.38/x
  3. Step 3: Cross multiply
    251.37x = 377.10 × 97.38
  4. Step 4: Simplify right side
    251.37x = 36,722.00
  5. Step 5: Solve for x
    x = 36,722.00/251.37
  6. Step 6: Final answer
    x = 146.09

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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.