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Finding the Fourth Proportional to 262.72, 362.84 and 205.20

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Solution

The fourth proportional to 262.72, 362.84 and 205.20 is: 283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 362.84 = 205.20 : x
  2. Step 2: Convert to fraction form
    262.72/362.84 = 205.20/x
  3. Step 3: Cross multiply
    262.72x = 362.84 × 205.20
  4. Step 4: Simplify right side
    262.72x = 74,454.77
  5. Step 5: Solve for x
    x = 74,454.77/262.72
  6. Step 6: Final answer
    x = 283.40

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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.