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Finding the Fourth Proportional to 248.26, 342.64 and 174.68

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Solution

The fourth proportional to 248.26, 342.64 and 174.68 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.26 : 342.64 = 174.68 : x
  2. Step 2: Convert to fraction form
    248.26/342.64 = 174.68/x
  3. Step 3: Cross multiply
    248.26x = 342.64 × 174.68
  4. Step 4: Simplify right side
    248.26x = 59,852.36
  5. Step 5: Solve for x
    x = 59,852.36/248.26
  6. Step 6: Final answer
    x = 241.09

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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.