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Finding the Fourth Proportional to 251.17, 346.61 and 146.27

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Solution

The fourth proportional to 251.17, 346.61 and 146.27 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.17 : 346.61 = 146.27 : x
  2. Step 2: Convert to fraction form
    251.17/346.61 = 146.27/x
  3. Step 3: Cross multiply
    251.17x = 346.61 × 146.27
  4. Step 4: Simplify right side
    251.17x = 50,699.88
  5. Step 5: Solve for x
    x = 50,699.88/251.17
  6. Step 6: Final answer
    x = 201.86

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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.