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Finding the Fourth Proportional to 308.64, 461.78 and 171.79

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Solution

The fourth proportional to 308.64, 461.78 and 171.79 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 461.78 = 171.79 : x
  2. Step 2: Convert to fraction form
    308.64/461.78 = 171.79/x
  3. Step 3: Cross multiply
    308.64x = 461.78 × 171.79
  4. Step 4: Simplify right side
    308.64x = 79,329.19
  5. Step 5: Solve for x
    x = 79,329.19/308.64
  6. Step 6: Final answer
    x = 257.03

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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.