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Finding the Fourth Proportional to 251.70, 346.98 and 177.99

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Solution

The fourth proportional to 251.70, 346.98 and 177.99 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.70 : 346.98 = 177.99 : x
  2. Step 2: Convert to fraction form
    251.70/346.98 = 177.99/x
  3. Step 3: Cross multiply
    251.70x = 346.98 × 177.99
  4. Step 4: Simplify right side
    251.70x = 61,758.97
  5. Step 5: Solve for x
    x = 61,758.97/251.70
  6. Step 6: Final answer
    x = 245.37

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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.