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Finding the Fourth Proportional to 251.84, 347.64 and 164.54

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Solution

The fourth proportional to 251.84, 347.64 and 164.54 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 347.64 = 164.54 : x
  2. Step 2: Convert to fraction form
    251.84/347.64 = 164.54/x
  3. Step 3: Cross multiply
    251.84x = 347.64 × 164.54
  4. Step 4: Simplify right side
    251.84x = 57,200.69
  5. Step 5: Solve for x
    x = 57,200.69/251.84
  6. Step 6: Final answer
    x = 227.13

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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.