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Finding the Fourth Proportional to 246.69, 340.34 and 184.64

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Solution

The fourth proportional to 246.69, 340.34 and 184.64 is: 254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.69 : 340.34 = 184.64 : x
  2. Step 2: Convert to fraction form
    246.69/340.34 = 184.64/x
  3. Step 3: Cross multiply
    246.69x = 340.34 × 184.64
  4. Step 4: Simplify right side
    246.69x = 62,837.75
  5. Step 5: Solve for x
    x = 62,837.75/246.69
  6. Step 6: Final answer
    x = 254.72

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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.