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Finding the Fourth Proportional to 246.87, 340.47 and 214.11

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Solution

The fourth proportional to 246.87, 340.47 and 214.11 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 340.47 = 214.11 : x
  2. Step 2: Convert to fraction form
    246.87/340.47 = 214.11/x
  3. Step 3: Cross multiply
    246.87x = 340.47 × 214.11
  4. Step 4: Simplify right side
    246.87x = 72,898.03
  5. Step 5: Solve for x
    x = 72,898.03/246.87
  6. Step 6: Final answer
    x = 295.29

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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.