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Finding the Fourth Proportional to 251.91, 347.69 and 164.53

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Solution

The fourth proportional to 251.91, 347.69 and 164.53 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.91 : 347.69 = 164.53 : x
  2. Step 2: Convert to fraction form
    251.91/347.69 = 164.53/x
  3. Step 3: Cross multiply
    251.91x = 347.69 × 164.53
  4. Step 4: Simplify right side
    251.91x = 57,206.28
  5. Step 5: Solve for x
    x = 57,206.28/251.91
  6. Step 6: Final answer
    x = 227.09

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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.