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Finding the Fourth Proportional to 249.84, 344.96 and 162.56

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Solution

The fourth proportional to 249.84, 344.96 and 162.56 is: 224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 344.96 = 162.56 : x
  2. Step 2: Convert to fraction form
    249.84/344.96 = 162.56/x
  3. Step 3: Cross multiply
    249.84x = 344.96 × 162.56
  4. Step 4: Simplify right side
    249.84x = 56,076.70
  5. Step 5: Solve for x
    x = 56,076.70/249.84
  6. Step 6: Final answer
    x = 224.45

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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.