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Finding the Fourth Proportional to 310.30, 465.68 and 115.48

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Solution

The fourth proportional to 310.30, 465.68 and 115.48 is: 173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.30 : 465.68 = 115.48 : x
  2. Step 2: Convert to fraction form
    310.30/465.68 = 115.48/x
  3. Step 3: Cross multiply
    310.30x = 465.68 × 115.48
  4. Step 4: Simplify right side
    310.30x = 53,776.73
  5. Step 5: Solve for x
    x = 53,776.73/310.30
  6. Step 6: Final answer
    x = 173.31

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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.