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Finding the Fourth Proportional to 250.92, 346.32 and 146.04

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Solution

The fourth proportional to 250.92, 346.32 and 146.04 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.92 : 346.32 = 146.04 : x
  2. Step 2: Convert to fraction form
    250.92/346.32 = 146.04/x
  3. Step 3: Cross multiply
    250.92x = 346.32 × 146.04
  4. Step 4: Simplify right side
    250.92x = 50,576.57
  5. Step 5: Solve for x
    x = 50,576.57/250.92
  6. Step 6: Final answer
    x = 201.56

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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.