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Finding the Fourth Proportional to 249.18, 343.95 and 164.06

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Solution

The fourth proportional to 249.18, 343.95 and 164.06 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.18 : 343.95 = 164.06 : x
  2. Step 2: Convert to fraction form
    249.18/343.95 = 164.06/x
  3. Step 3: Cross multiply
    249.18x = 343.95 × 164.06
  4. Step 4: Simplify right side
    249.18x = 56,427.39
  5. Step 5: Solve for x
    x = 56,427.39/249.18
  6. Step 6: Final answer
    x = 226.46

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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.