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Finding the Fourth Proportional to 262.84, 362.46 and 218.56

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Solution

The fourth proportional to 262.84, 362.46 and 218.56 is: 301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 362.46 = 218.56 : x
  2. Step 2: Convert to fraction form
    262.84/362.46 = 218.56/x
  3. Step 3: Cross multiply
    262.84x = 362.46 × 218.56
  4. Step 4: Simplify right side
    262.84x = 79,219.26
  5. Step 5: Solve for x
    x = 79,219.26/262.84
  6. Step 6: Final answer
    x = 301.40

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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.