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Finding the Fourth Proportional to 248.30, 342.56 and 160.82

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Solution

The fourth proportional to 248.30, 342.56 and 160.82 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.30 : 342.56 = 160.82 : x
  2. Step 2: Convert to fraction form
    248.30/342.56 = 160.82/x
  3. Step 3: Cross multiply
    248.30x = 342.56 × 160.82
  4. Step 4: Simplify right side
    248.30x = 55,090.50
  5. Step 5: Solve for x
    x = 55,090.50/248.30
  6. Step 6: Final answer
    x = 221.87

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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.