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Finding the Fourth Proportional to 262.97, 362.91 and 146.54

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Solution

The fourth proportional to 262.97, 362.91 and 146.54 is: 202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.97 : 362.91 = 146.54 : x
  2. Step 2: Convert to fraction form
    262.97/362.91 = 146.54/x
  3. Step 3: Cross multiply
    262.97x = 362.91 × 146.54
  4. Step 4: Simplify right side
    262.97x = 53,180.83
  5. Step 5: Solve for x
    x = 53,180.83/262.97
  6. Step 6: Final answer
    x = 202.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.