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Finding the Fourth Proportional to 251.38, 346.92 and 146.47

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Solution

The fourth proportional to 251.38, 346.92 and 146.47 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.38 : 346.92 = 146.47 : x
  2. Step 2: Convert to fraction form
    251.38/346.92 = 146.47/x
  3. Step 3: Cross multiply
    251.38x = 346.92 × 146.47
  4. Step 4: Simplify right side
    251.38x = 50,813.37
  5. Step 5: Solve for x
    x = 50,813.37/251.38
  6. Step 6: Final answer
    x = 202.14

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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.