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Finding the Fourth Proportional to 353.23, 529.81 and 122.10

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Solution

The fourth proportional to 353.23, 529.81 and 122.10 is: 183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.23 : 529.81 = 122.10 : x
  2. Step 2: Convert to fraction form
    353.23/529.81 = 122.10/x
  3. Step 3: Cross multiply
    353.23x = 529.81 × 122.10
  4. Step 4: Simplify right side
    353.23x = 64,689.80
  5. Step 5: Solve for x
    x = 64,689.80/353.23
  6. Step 6: Final answer
    x = 183.14

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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.