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Finding the Fourth Proportional to 327.83, 492.10 and 165.47

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Solution

The fourth proportional to 327.83, 492.10 and 165.47 is: 248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.83 : 492.10 = 165.47 : x
  2. Step 2: Convert to fraction form
    327.83/492.10 = 165.47/x
  3. Step 3: Cross multiply
    327.83x = 492.10 × 165.47
  4. Step 4: Simplify right side
    327.83x = 81,424.91
  5. Step 5: Solve for x
    x = 81,424.91/327.83
  6. Step 6: Final answer
    x = 248.38

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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.