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Finding the Fourth Proportional to 246.60, 340.14 and 171.78

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Solution

The fourth proportional to 246.60, 340.14 and 171.78 is: 236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.60 : 340.14 = 171.78 : x
  2. Step 2: Convert to fraction form
    246.60/340.14 = 171.78/x
  3. Step 3: Cross multiply
    246.60x = 340.14 × 171.78
  4. Step 4: Simplify right side
    246.60x = 58,429.25
  5. Step 5: Solve for x
    x = 58,429.25/246.60
  6. Step 6: Final answer
    x = 236.94

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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.