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Finding the Fourth Proportional to 310.69, 466.14 and 173.85

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Solution

The fourth proportional to 310.69, 466.14 and 173.85 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.69 : 466.14 = 173.85 : x
  2. Step 2: Convert to fraction form
    310.69/466.14 = 173.85/x
  3. Step 3: Cross multiply
    310.69x = 466.14 × 173.85
  4. Step 4: Simplify right side
    310.69x = 81,039.09
  5. Step 5: Solve for x
    x = 81,039.09/310.69
  6. Step 6: Final answer
    x = 260.83

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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.