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Finding the Fourth Proportional to 251.66, 347.16 and 168.80

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Solution

The fourth proportional to 251.66, 347.16 and 168.80 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.66 : 347.16 = 168.80 : x
  2. Step 2: Convert to fraction form
    251.66/347.16 = 168.80/x
  3. Step 3: Cross multiply
    251.66x = 347.16 × 168.80
  4. Step 4: Simplify right side
    251.66x = 58,598.87
  5. Step 5: Solve for x
    x = 58,598.87/251.66
  6. Step 6: Final answer
    x = 232.85

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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.