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Finding the Fourth Proportional to 246.80, 340.44 and 176.76

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Solution

The fourth proportional to 246.80, 340.44 and 176.76 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.80 : 340.44 = 176.76 : x
  2. Step 2: Convert to fraction form
    246.80/340.44 = 176.76/x
  3. Step 3: Cross multiply
    246.80x = 340.44 × 176.76
  4. Step 4: Simplify right side
    246.80x = 60,176.17
  5. Step 5: Solve for x
    x = 60,176.17/246.80
  6. Step 6: Final answer
    x = 243.83

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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.