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Finding the Fourth Proportional to 310.92, 466.82 and 174.22

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Solution

The fourth proportional to 310.92, 466.82 and 174.22 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 466.82 = 174.22 : x
  2. Step 2: Convert to fraction form
    310.92/466.82 = 174.22/x
  3. Step 3: Cross multiply
    310.92x = 466.82 × 174.22
  4. Step 4: Simplify right side
    310.92x = 81,329.38
  5. Step 5: Solve for x
    x = 81,329.38/310.92
  6. Step 6: Final answer
    x = 261.58

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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.