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Finding the Fourth Proportional to 206.24, 309.60 and 185.60

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Solution

The fourth proportional to 206.24, 309.60 and 185.60 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.60 = 185.60 : x
  2. Step 2: Convert to fraction form
    206.24/309.60 = 185.60/x
  3. Step 3: Cross multiply
    206.24x = 309.60 × 185.60
  4. Step 4: Simplify right side
    206.24x = 57,461.76
  5. Step 5: Solve for x
    x = 57,461.76/206.24
  6. Step 6: Final answer
    x = 278.62

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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.