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Finding the Fourth Proportional to 248.84, 343.58 and 161.56

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Solution

The fourth proportional to 248.84, 343.58 and 161.56 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.84 : 343.58 = 161.56 : x
  2. Step 2: Convert to fraction form
    248.84/343.58 = 161.56/x
  3. Step 3: Cross multiply
    248.84x = 343.58 × 161.56
  4. Step 4: Simplify right side
    248.84x = 55,508.78
  5. Step 5: Solve for x
    x = 55,508.78/248.84
  6. Step 6: Final answer
    x = 223.07

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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.