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Finding the Fourth Proportional to 248.25, 342.75 and 161.07

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Solution

The fourth proportional to 248.25, 342.75 and 161.07 is: 222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.25 : 342.75 = 161.07 : x
  2. Step 2: Convert to fraction form
    248.25/342.75 = 161.07/x
  3. Step 3: Cross multiply
    248.25x = 342.75 × 161.07
  4. Step 4: Simplify right side
    248.25x = 55,206.74
  5. Step 5: Solve for x
    x = 55,206.74/248.25
  6. Step 6: Final answer
    x = 222.38

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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.