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Finding the Fourth Proportional to 353.43, 530.09 and 109.97

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Solution

The fourth proportional to 353.43, 530.09 and 109.97 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.43 : 530.09 = 109.97 : x
  2. Step 2: Convert to fraction form
    353.43/530.09 = 109.97/x
  3. Step 3: Cross multiply
    353.43x = 530.09 × 109.97
  4. Step 4: Simplify right side
    353.43x = 58,290.80
  5. Step 5: Solve for x
    x = 58,290.80/353.43
  6. Step 6: Final answer
    x = 164.93

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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.