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Finding the Fourth Proportional to 353.14, 529.70 and 206.80

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Solution

The fourth proportional to 353.14, 529.70 and 206.80 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 529.70 = 206.80 : x
  2. Step 2: Convert to fraction form
    353.14/529.70 = 206.80/x
  3. Step 3: Cross multiply
    353.14x = 529.70 × 206.80
  4. Step 4: Simplify right side
    353.14x = 109,541.96
  5. Step 5: Solve for x
    x = 109,541.96/353.14
  6. Step 6: Final answer
    x = 310.19

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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.