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Finding the Fourth Proportional to 308.38, 462.28 and 162.10

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Solution

The fourth proportional to 308.38, 462.28 and 162.10 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 462.28 = 162.10 : x
  2. Step 2: Convert to fraction form
    308.38/462.28 = 162.10/x
  3. Step 3: Cross multiply
    308.38x = 462.28 × 162.10
  4. Step 4: Simplify right side
    308.38x = 74,935.59
  5. Step 5: Solve for x
    x = 74,935.59/308.38
  6. Step 6: Final answer
    x = 243.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.