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Finding the Fourth Proportional to 262.63, 362.43 and 146.19

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Solution

The fourth proportional to 262.63, 362.43 and 146.19 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.63 : 362.43 = 146.19 : x
  2. Step 2: Convert to fraction form
    262.63/362.43 = 146.19/x
  3. Step 3: Cross multiply
    262.63x = 362.43 × 146.19
  4. Step 4: Simplify right side
    262.63x = 52,982.91
  5. Step 5: Solve for x
    x = 52,982.91/262.63
  6. Step 6: Final answer
    x = 201.74

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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.