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Finding the Fourth Proportional to 328.25, 492.39 and 165.89

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Solution

The fourth proportional to 328.25, 492.39 and 165.89 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 492.39 = 165.89 : x
  2. Step 2: Convert to fraction form
    328.25/492.39 = 165.89/x
  3. Step 3: Cross multiply
    328.25x = 492.39 × 165.89
  4. Step 4: Simplify right side
    328.25x = 81,682.58
  5. Step 5: Solve for x
    x = 81,682.58/328.25
  6. Step 6: Final answer
    x = 248.84

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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.