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Finding the Fourth Proportional to 251.41, 346.94 and 164.08

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Solution

The fourth proportional to 251.41, 346.94 and 164.08 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.41 : 346.94 = 164.08 : x
  2. Step 2: Convert to fraction form
    251.41/346.94 = 164.08/x
  3. Step 3: Cross multiply
    251.41x = 346.94 × 164.08
  4. Step 4: Simplify right side
    251.41x = 56,925.05
  5. Step 5: Solve for x
    x = 56,925.05/251.41
  6. Step 6: Final answer
    x = 226.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.