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Finding the Fourth Proportional to 277.40, 382.92 and 248.24

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Solution

The fourth proportional to 277.40, 382.92 and 248.24 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.92 = 248.24 : x
  2. Step 2: Convert to fraction form
    277.40/382.92 = 248.24/x
  3. Step 3: Cross multiply
    277.40x = 382.92 × 248.24
  4. Step 4: Simplify right side
    277.40x = 95,056.06
  5. Step 5: Solve for x
    x = 95,056.06/277.40
  6. Step 6: Final answer
    x = 342.67

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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.