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Finding the Fourth Proportional to 246.60, 340.14 and 202.86

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Solution

The fourth proportional to 246.60, 340.14 and 202.86 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.60 : 340.14 = 202.86 : x
  2. Step 2: Convert to fraction form
    246.60/340.14 = 202.86/x
  3. Step 3: Cross multiply
    246.60x = 340.14 × 202.86
  4. Step 4: Simplify right side
    246.60x = 69,000.80
  5. Step 5: Solve for x
    x = 69,000.80/246.60
  6. Step 6: Final answer
    x = 279.81

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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.