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Finding the Fourth Proportional to 265.88, 366.68 and 206.20

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Solution

The fourth proportional to 265.88, 366.68 and 206.20 is: 284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.88 : 366.68 = 206.20 : x
  2. Step 2: Convert to fraction form
    265.88/366.68 = 206.20/x
  3. Step 3: Cross multiply
    265.88x = 366.68 × 206.20
  4. Step 4: Simplify right side
    265.88x = 75,609.42
  5. Step 5: Solve for x
    x = 75,609.42/265.88
  6. Step 6: Final answer
    x = 284.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.