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Finding the Fourth Proportional to 251.99, 347.24 and 164.51

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Solution

The fourth proportional to 251.99, 347.24 and 164.51 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 347.24 = 164.51 : x
  2. Step 2: Convert to fraction form
    251.99/347.24 = 164.51/x
  3. Step 3: Cross multiply
    251.99x = 347.24 × 164.51
  4. Step 4: Simplify right side
    251.99x = 57,123.13
  5. Step 5: Solve for x
    x = 57,123.13/251.99
  6. Step 6: Final answer
    x = 226.69

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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.