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Finding the Fourth Proportional to 353.98, 530.84 and 180.59

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Solution

The fourth proportional to 353.98, 530.84 and 180.59 is: 270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 530.84 = 180.59 : x
  2. Step 2: Convert to fraction form
    353.98/530.84 = 180.59/x
  3. Step 3: Cross multiply
    353.98x = 530.84 × 180.59
  4. Step 4: Simplify right side
    353.98x = 95,864.40
  5. Step 5: Solve for x
    x = 95,864.40/353.98
  6. Step 6: Final answer
    x = 270.82

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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.