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Finding the Fourth Proportional to 262.94, 363.02 and 180.18

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Solution

The fourth proportional to 262.94, 363.02 and 180.18 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 363.02 = 180.18 : x
  2. Step 2: Convert to fraction form
    262.94/363.02 = 180.18/x
  3. Step 3: Cross multiply
    262.94x = 363.02 × 180.18
  4. Step 4: Simplify right side
    262.94x = 65,408.04
  5. Step 5: Solve for x
    x = 65,408.04/262.94
  6. Step 6: Final answer
    x = 248.76

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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.