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Finding the Fourth Proportional to 308.25, 425.66 and 231.03

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Solution

The fourth proportional to 308.25, 425.66 and 231.03 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.25 : 425.66 = 231.03 : x
  2. Step 2: Convert to fraction form
    308.25/425.66 = 231.03/x
  3. Step 3: Cross multiply
    308.25x = 425.66 × 231.03
  4. Step 4: Simplify right side
    308.25x = 98,339.07
  5. Step 5: Solve for x
    x = 98,339.07/308.25
  6. Step 6: Final answer
    x = 319.02

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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.