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Finding the Fourth Proportional to 326.24, 488.76 and 181.76

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Solution

The fourth proportional to 326.24, 488.76 and 181.76 is: 272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.24 : 488.76 = 181.76 : x
  2. Step 2: Convert to fraction form
    326.24/488.76 = 181.76/x
  3. Step 3: Cross multiply
    326.24x = 488.76 × 181.76
  4. Step 4: Simplify right side
    326.24x = 88,837.02
  5. Step 5: Solve for x
    x = 88,837.02/326.24
  6. Step 6: Final answer
    x = 272.31

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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.