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Finding the Fourth Proportional to 310.81, 465.91 and 173.92

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Solution

The fourth proportional to 310.81, 465.91 and 173.92 is: 260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.81 : 465.91 = 173.92 : x
  2. Step 2: Convert to fraction form
    310.81/465.91 = 173.92/x
  3. Step 3: Cross multiply
    310.81x = 465.91 × 173.92
  4. Step 4: Simplify right side
    310.81x = 81,031.07
  5. Step 5: Solve for x
    x = 81,031.07/310.81
  6. Step 6: Final answer
    x = 260.71

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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.