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Finding the Fourth Proportional to 251.68, 347.20 and 158.36

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Solution

The fourth proportional to 251.68, 347.20 and 158.36 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.68 : 347.20 = 158.36 : x
  2. Step 2: Convert to fraction form
    251.68/347.20 = 158.36/x
  3. Step 3: Cross multiply
    251.68x = 347.20 × 158.36
  4. Step 4: Simplify right side
    251.68x = 54,982.59
  5. Step 5: Solve for x
    x = 54,982.59/251.68
  6. Step 6: Final answer
    x = 218.46

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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.