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Finding the Fourth Proportional to 248.73, 342.85 and 189.52

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Solution

The fourth proportional to 248.73, 342.85 and 189.52 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.73 : 342.85 = 189.52 : x
  2. Step 2: Convert to fraction form
    248.73/342.85 = 189.52/x
  3. Step 3: Cross multiply
    248.73x = 342.85 × 189.52
  4. Step 4: Simplify right side
    248.73x = 64,976.93
  5. Step 5: Solve for x
    x = 64,976.93/248.73
  6. Step 6: Final answer
    x = 261.23

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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.