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Finding the Fourth Proportional to 248.14, 342.54 and 174.46

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Solution

The fourth proportional to 248.14, 342.54 and 174.46 is: 240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.14 : 342.54 = 174.46 : x
  2. Step 2: Convert to fraction form
    248.14/342.54 = 174.46/x
  3. Step 3: Cross multiply
    248.14x = 342.54 × 174.46
  4. Step 4: Simplify right side
    248.14x = 59,759.53
  5. Step 5: Solve for x
    x = 59,759.53/248.14
  6. Step 6: Final answer
    x = 240.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.