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Finding the Fourth Proportional to 251.27, 347.12 and 186.14

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Solution

The fourth proportional to 251.27, 347.12 and 186.14 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.27 : 347.12 = 186.14 : x
  2. Step 2: Convert to fraction form
    251.27/347.12 = 186.14/x
  3. Step 3: Cross multiply
    251.27x = 347.12 × 186.14
  4. Step 4: Simplify right side
    251.27x = 64,610.25
  5. Step 5: Solve for x
    x = 64,610.25/251.27
  6. Step 6: Final answer
    x = 257.14

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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.