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Finding the Fourth Proportional to 262.80, 362.63 and 146.34

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Solution

The fourth proportional to 262.80, 362.63 and 146.34 is: 201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 362.63 = 146.34 : x
  2. Step 2: Convert to fraction form
    262.80/362.63 = 146.34/x
  3. Step 3: Cross multiply
    262.80x = 362.63 × 146.34
  4. Step 4: Simplify right side
    262.80x = 53,067.27
  5. Step 5: Solve for x
    x = 53,067.27/262.80
  6. Step 6: Final answer
    x = 201.93

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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.