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Finding the Fourth Proportional to 277.98, 382.56 and 215.58

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Solution

The fourth proportional to 277.98, 382.56 and 215.58 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 382.56 = 215.58 : x
  2. Step 2: Convert to fraction form
    277.98/382.56 = 215.58/x
  3. Step 3: Cross multiply
    277.98x = 382.56 × 215.58
  4. Step 4: Simplify right side
    277.98x = 82,472.28
  5. Step 5: Solve for x
    x = 82,472.28/277.98
  6. Step 6: Final answer
    x = 296.68

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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.