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Finding the Fourth Proportional to 249.42, 344.00 and 156.09

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Solution

The fourth proportional to 249.42, 344.00 and 156.09 is: 215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 344.00 = 156.09 : x
  2. Step 2: Convert to fraction form
    249.42/344.00 = 156.09/x
  3. Step 3: Cross multiply
    249.42x = 344.00 × 156.09
  4. Step 4: Simplify right side
    249.42x = 53,694.18
  5. Step 5: Solve for x
    x = 53,694.18/249.42
  6. Step 6: Final answer
    x = 215.28

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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.