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Finding the Fourth Proportional to 251.41, 377.32 and 107.23

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Solution

The fourth proportional to 251.41, 377.32 and 107.23 is: 160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 377.32 = 107.23 : x
  2. Step 2: Convert to fraction form
    251.41/377.32 = 107.23/x
  3. Step 3: Cross multiply
    251.41x = 377.32 × 107.23
  4. Step 4: Simplify right side
    251.41x = 40,458.81
  5. Step 5: Solve for x
    x = 40,458.81/251.41
  6. Step 6: Final answer
    x = 160.93

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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.