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Finding the Fourth Proportional to 353.40, 529.97 and 122.23

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Solution

The fourth proportional to 353.40, 529.97 and 122.23 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 529.97 = 122.23 : x
  2. Step 2: Convert to fraction form
    353.40/529.97 = 122.23/x
  3. Step 3: Cross multiply
    353.40x = 529.97 × 122.23
  4. Step 4: Simplify right side
    353.40x = 64,774.97
  5. Step 5: Solve for x
    x = 64,774.97/353.40
  6. Step 6: Final answer
    x = 183.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.