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Finding the Fourth Proportional to 308.00, 424.96 and 197.28

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Solution

The fourth proportional to 308.00, 424.96 and 197.28 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.00 : 424.96 = 197.28 : x
  2. Step 2: Convert to fraction form
    308.00/424.96 = 197.28/x
  3. Step 3: Cross multiply
    308.00x = 424.96 × 197.28
  4. Step 4: Simplify right side
    308.00x = 83,835.62
  5. Step 5: Solve for x
    x = 83,835.62/308.00
  6. Step 6: Final answer
    x = 272.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.