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Finding the Fourth Proportional to 251.69, 347.24 and 177.98

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Solution

The fourth proportional to 251.69, 347.24 and 177.98 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.69 : 347.24 = 177.98 : x
  2. Step 2: Convert to fraction form
    251.69/347.24 = 177.98/x
  3. Step 3: Cross multiply
    251.69x = 347.24 × 177.98
  4. Step 4: Simplify right side
    251.69x = 61,799.15
  5. Step 5: Solve for x
    x = 61,799.15/251.69
  6. Step 6: Final answer
    x = 245.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.