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Finding the Fourth Proportional to 308.02, 461.41 and 153.48

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Solution

The fourth proportional to 308.02, 461.41 and 153.48 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.02 : 461.41 = 153.48 : x
  2. Step 2: Convert to fraction form
    308.02/461.41 = 153.48/x
  3. Step 3: Cross multiply
    308.02x = 461.41 × 153.48
  4. Step 4: Simplify right side
    308.02x = 70,817.21
  5. Step 5: Solve for x
    x = 70,817.21/308.02
  6. Step 6: Final answer
    x = 229.91

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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.