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Finding the Fourth Proportional to 328.09, 492.35 and 122.82

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Solution

The fourth proportional to 328.09, 492.35 and 122.82 is: 184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.09 : 492.35 = 122.82 : x
  2. Step 2: Convert to fraction form
    328.09/492.35 = 122.82/x
  3. Step 3: Cross multiply
    328.09x = 492.35 × 122.82
  4. Step 4: Simplify right side
    328.09x = 60,470.43
  5. Step 5: Solve for x
    x = 60,470.43/328.09
  6. Step 6: Final answer
    x = 184.31

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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.