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Finding the Fourth Proportional to 308.02, 461.52 and 177.94

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Solution

The fourth proportional to 308.02, 461.52 and 177.94 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.02 : 461.52 = 177.94 : x
  2. Step 2: Convert to fraction form
    308.02/461.52 = 177.94/x
  3. Step 3: Cross multiply
    308.02x = 461.52 × 177.94
  4. Step 4: Simplify right side
    308.02x = 82,122.87
  5. Step 5: Solve for x
    x = 82,122.87/308.02
  6. Step 6: Final answer
    x = 266.62

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Why These Related Problems?

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