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Finding the Fourth Proportional to 310.09, 465.14 and 181.75

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Solution

The fourth proportional to 310.09, 465.14 and 181.75 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.09 : 465.14 = 181.75 : x
  2. Step 2: Convert to fraction form
    310.09/465.14 = 181.75/x
  3. Step 3: Cross multiply
    310.09x = 465.14 × 181.75
  4. Step 4: Simplify right side
    310.09x = 84,539.20
  5. Step 5: Solve for x
    x = 84,539.20/310.09
  6. Step 6: Final answer
    x = 272.63

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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.