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Finding the Fourth Proportional to 251.91, 347.56 and 178.20

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Solution

The fourth proportional to 251.91, 347.56 and 178.20 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.91 : 347.56 = 178.20 : x
  2. Step 2: Convert to fraction form
    251.91/347.56 = 178.20/x
  3. Step 3: Cross multiply
    251.91x = 347.56 × 178.20
  4. Step 4: Simplify right side
    251.91x = 61,934.75
  5. Step 5: Solve for x
    x = 61,934.75/251.91
  6. Step 6: Final answer
    x = 245.86

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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.