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Finding the Fourth Proportional to 206.35, 309.56 and 182.25

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Solution

The fourth proportional to 206.35, 309.56 and 182.25 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.35 : 309.56 = 182.25 : x
  2. Step 2: Convert to fraction form
    206.35/309.56 = 182.25/x
  3. Step 3: Cross multiply
    206.35x = 309.56 × 182.25
  4. Step 4: Simplify right side
    206.35x = 56,416.40
  5. Step 5: Solve for x
    x = 56,416.40/206.35
  6. Step 6: Final answer
    x = 273.40

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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.