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Finding the Fourth Proportional to 353.38, 529.95 and 122.22

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Solution

The fourth proportional to 353.38, 529.95 and 122.22 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.38 : 529.95 = 122.22 : x
  2. Step 2: Convert to fraction form
    353.38/529.95 = 122.22/x
  3. Step 3: Cross multiply
    353.38x = 529.95 × 122.22
  4. Step 4: Simplify right side
    353.38x = 64,767.23
  5. Step 5: Solve for x
    x = 64,767.23/353.38
  6. Step 6: Final answer
    x = 183.28

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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.