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Finding the Fourth Proportional to 246.57, 340.20 and 146.96

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Solution

The fourth proportional to 246.57, 340.20 and 146.96 is: 202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.57 : 340.20 = 146.96 : x
  2. Step 2: Convert to fraction form
    246.57/340.20 = 146.96/x
  3. Step 3: Cross multiply
    246.57x = 340.20 × 146.96
  4. Step 4: Simplify right side
    246.57x = 49,995.37
  5. Step 5: Solve for x
    x = 49,995.37/246.57
  6. Step 6: Final answer
    x = 202.76

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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.