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Finding the Fourth Proportional to 262.20, 360.90 and 184.44

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Solution

The fourth proportional to 262.20, 360.90 and 184.44 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.20 : 360.90 = 184.44 : x
  2. Step 2: Convert to fraction form
    262.20/360.90 = 184.44/x
  3. Step 3: Cross multiply
    262.20x = 360.90 × 184.44
  4. Step 4: Simplify right side
    262.20x = 66,564.40
  5. Step 5: Solve for x
    x = 66,564.40/262.20
  6. Step 6: Final answer
    x = 253.87

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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.