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Finding the Fourth Proportional to 328.29, 492.75 and 166.11

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Solution

The fourth proportional to 328.29, 492.75 and 166.11 is: 249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.29 : 492.75 = 166.11 : x
  2. Step 2: Convert to fraction form
    328.29/492.75 = 166.11/x
  3. Step 3: Cross multiply
    328.29x = 492.75 × 166.11
  4. Step 4: Simplify right side
    328.29x = 81,850.70
  5. Step 5: Solve for x
    x = 81,850.70/328.29
  6. Step 6: Final answer
    x = 249.32

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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.