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Finding the Fourth Proportional to 308.76, 462.80 and 171.77

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Solution

The fourth proportional to 308.76, 462.80 and 171.77 is: 257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.76 : 462.80 = 171.77 : x
  2. Step 2: Convert to fraction form
    308.76/462.80 = 171.77/x
  3. Step 3: Cross multiply
    308.76x = 462.80 × 171.77
  4. Step 4: Simplify right side
    308.76x = 79,491.98
  5. Step 5: Solve for x
    x = 79,491.98/308.76
  6. Step 6: Final answer
    x = 257.46

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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.