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Finding the Fourth Proportional to 251.06, 346.32 and 157.78

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Solution

The fourth proportional to 251.06, 346.32 and 157.78 is: 217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.06 : 346.32 = 157.78 : x
  2. Step 2: Convert to fraction form
    251.06/346.32 = 157.78/x
  3. Step 3: Cross multiply
    251.06x = 346.32 × 157.78
  4. Step 4: Simplify right side
    251.06x = 54,642.37
  5. Step 5: Solve for x
    x = 54,642.37/251.06
  6. Step 6: Final answer
    x = 217.65

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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.