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Finding the Fourth Proportional to 353.27, 530.00 and 179.88

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Solution

The fourth proportional to 353.27, 530.00 and 179.88 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.27 : 530.00 = 179.88 : x
  2. Step 2: Convert to fraction form
    353.27/530.00 = 179.88/x
  3. Step 3: Cross multiply
    353.27x = 530.00 × 179.88
  4. Step 4: Simplify right side
    353.27x = 95,335.50
  5. Step 5: Solve for x
    x = 95,335.50/353.27
  6. Step 6: Final answer
    x = 269.87

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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.