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Finding the Fourth Proportional to 308.94, 426.52 and 230.16

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Solution

The fourth proportional to 308.94, 426.52 and 230.16 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.94 : 426.52 = 230.16 : x
  2. Step 2: Convert to fraction form
    308.94/426.52 = 230.16/x
  3. Step 3: Cross multiply
    308.94x = 426.52 × 230.16
  4. Step 4: Simplify right side
    308.94x = 98,167.84
  5. Step 5: Solve for x
    x = 98,167.84/308.94
  6. Step 6: Final answer
    x = 317.76

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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.