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Finding the Fourth Proportional to 310.92, 430.18 and 272.22

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Solution

The fourth proportional to 310.92, 430.18 and 272.22 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 430.18 = 272.22 : x
  2. Step 2: Convert to fraction form
    310.92/430.18 = 272.22/x
  3. Step 3: Cross multiply
    310.92x = 430.18 × 272.22
  4. Step 4: Simplify right side
    310.92x = 117,103.60
  5. Step 5: Solve for x
    x = 117,103.60/310.92
  6. Step 6: Final answer
    x = 376.64

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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.