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Finding the Fourth Proportional to 262.64, 362.46 and 146.21

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Solution

The fourth proportional to 262.64, 362.46 and 146.21 is: 201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.46 = 146.21 : x
  2. Step 2: Convert to fraction form
    262.64/362.46 = 146.21/x
  3. Step 3: Cross multiply
    262.64x = 362.46 × 146.21
  4. Step 4: Simplify right side
    262.64x = 52,995.28
  5. Step 5: Solve for x
    x = 52,995.28/262.64
  6. Step 6: Final answer
    x = 201.78

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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.