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Finding the Fourth Proportional to 353.99, 530.97 and 180.61

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Solution

The fourth proportional to 353.99, 530.97 and 180.61 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.99 : 530.97 = 180.61 : x
  2. Step 2: Convert to fraction form
    353.99/530.97 = 180.61/x
  3. Step 3: Cross multiply
    353.99x = 530.97 × 180.61
  4. Step 4: Simplify right side
    353.99x = 95,898.49
  5. Step 5: Solve for x
    x = 95,898.49/353.99
  6. Step 6: Final answer
    x = 270.91

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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.