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Finding the Fourth Proportional to 274.36, 378.66 and 216.58

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Solution

The fourth proportional to 274.36, 378.66 and 216.58 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 378.66 = 216.58 : x
  2. Step 2: Convert to fraction form
    274.36/378.66 = 216.58/x
  3. Step 3: Cross multiply
    274.36x = 378.66 × 216.58
  4. Step 4: Simplify right side
    274.36x = 82,010.18
  5. Step 5: Solve for x
    x = 82,010.18/274.36
  6. Step 6: Final answer
    x = 298.91

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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.