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Finding the Fourth Proportional to 249.56, 344.56 and 156.34

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Solution

The fourth proportional to 249.56, 344.56 and 156.34 is: 215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.56 : 344.56 = 156.34 : x
  2. Step 2: Convert to fraction form
    249.56/344.56 = 156.34/x
  3. Step 3: Cross multiply
    249.56x = 344.56 × 156.34
  4. Step 4: Simplify right side
    249.56x = 53,868.51
  5. Step 5: Solve for x
    x = 53,868.51/249.56
  6. Step 6: Final answer
    x = 215.85

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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.