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Finding the Fourth Proportional to 249.84, 344.93 and 162.56

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Solution

The fourth proportional to 249.84, 344.93 and 162.56 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 344.93 = 162.56 : x
  2. Step 2: Convert to fraction form
    249.84/344.93 = 162.56/x
  3. Step 3: Cross multiply
    249.84x = 344.93 × 162.56
  4. Step 4: Simplify right side
    249.84x = 56,071.87
  5. Step 5: Solve for x
    x = 56,071.87/249.84
  6. Step 6: Final answer
    x = 224.43

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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.