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Finding the Fourth Proportional to 246.65, 340.20 and 159.26

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Solution

The fourth proportional to 246.65, 340.20 and 159.26 is: 219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 340.20 = 159.26 : x
  2. Step 2: Convert to fraction form
    246.65/340.20 = 159.26/x
  3. Step 3: Cross multiply
    246.65x = 340.20 × 159.26
  4. Step 4: Simplify right side
    246.65x = 54,178.55
  5. Step 5: Solve for x
    x = 54,178.55/246.65
  6. Step 6: Final answer
    x = 219.66

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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.