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Finding the Fourth Proportional to 251.36, 346.90 and 146.46

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Solution

The fourth proportional to 251.36, 346.90 and 146.46 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.36 : 346.90 = 146.46 : x
  2. Step 2: Convert to fraction form
    251.36/346.90 = 146.46/x
  3. Step 3: Cross multiply
    251.36x = 346.90 × 146.46
  4. Step 4: Simplify right side
    251.36x = 50,806.97
  5. Step 5: Solve for x
    x = 50,806.97/251.36
  6. Step 6: Final answer
    x = 202.13

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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.