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Finding the Fourth Proportional to 248.34, 342.13 and 204.60

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Solution

The fourth proportional to 248.34, 342.13 and 204.60 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.34 : 342.13 = 204.60 : x
  2. Step 2: Convert to fraction form
    248.34/342.13 = 204.60/x
  3. Step 3: Cross multiply
    248.34x = 342.13 × 204.60
  4. Step 4: Simplify right side
    248.34x = 69,999.80
  5. Step 5: Solve for x
    x = 69,999.80/248.34
  6. Step 6: Final answer
    x = 281.87

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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.