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Finding the Fourth Proportional to 246.42, 340.14 and 159.10

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Solution

The fourth proportional to 246.42, 340.14 and 159.10 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.42 : 340.14 = 159.10 : x
  2. Step 2: Convert to fraction form
    246.42/340.14 = 159.10/x
  3. Step 3: Cross multiply
    246.42x = 340.14 × 159.10
  4. Step 4: Simplify right side
    246.42x = 54,115.42
  5. Step 5: Solve for x
    x = 54,115.42/246.42
  6. Step 6: Final answer
    x = 219.61

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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.