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Finding the Fourth Proportional to 277.04, 382.48 and 173.68

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Solution

The fourth proportional to 277.04, 382.48 and 173.68 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 382.48 = 173.68 : x
  2. Step 2: Convert to fraction form
    277.04/382.48 = 173.68/x
  3. Step 3: Cross multiply
    277.04x = 382.48 × 173.68
  4. Step 4: Simplify right side
    277.04x = 66,429.13
  5. Step 5: Solve for x
    x = 66,429.13/277.04
  6. Step 6: Final answer
    x = 239.78

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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.