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Finding the Fourth Proportional to 262.84, 362 and 197.24

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Solution

The fourth proportional to 262.84, 362 and 197.24 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 362 = 197.24 : x
  2. Step 2: Convert to fraction form
    262.84/362 = 197.24/x
  3. Step 3: Cross multiply
    262.84x = 362 × 197.24
  4. Step 4: Simplify right side
    262.84x = 71,400.88
  5. Step 5: Solve for x
    x = 71,400.88/262.84
  6. Step 6: Final answer
    x = 271.65

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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.