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Finding the Fourth Proportional to 262.78, 362.24 and 216.06

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Solution

The fourth proportional to 262.78, 362.24 and 216.06 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 362.24 = 216.06 : x
  2. Step 2: Convert to fraction form
    262.78/362.24 = 216.06/x
  3. Step 3: Cross multiply
    262.78x = 362.24 × 216.06
  4. Step 4: Simplify right side
    262.78x = 78,265.57
  5. Step 5: Solve for x
    x = 78,265.57/262.78
  6. Step 6: Final answer
    x = 297.84

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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.