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Finding the Fourth Proportional to 310.95, 466.14 and 171.92

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Solution

The fourth proportional to 310.95, 466.14 and 171.92 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 466.14 = 171.92 : x
  2. Step 2: Convert to fraction form
    310.95/466.14 = 171.92/x
  3. Step 3: Cross multiply
    310.95x = 466.14 × 171.92
  4. Step 4: Simplify right side
    310.95x = 80,136.46
  5. Step 5: Solve for x
    x = 80,136.46/310.95
  6. Step 6: Final answer
    x = 257.71

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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.