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Finding the Fourth Proportional to 274.63, 378.80 and 229.64

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Solution

The fourth proportional to 274.63, 378.80 and 229.64 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.63 : 378.80 = 229.64 : x
  2. Step 2: Convert to fraction form
    274.63/378.80 = 229.64/x
  3. Step 3: Cross multiply
    274.63x = 378.80 × 229.64
  4. Step 4: Simplify right side
    274.63x = 86,987.63
  5. Step 5: Solve for x
    x = 86,987.63/274.63
  6. Step 6: Final answer
    x = 316.74

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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.