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Finding the Fourth Proportional to 262.75, 362.61 and 146.32

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Solution

The fourth proportional to 262.75, 362.61 and 146.32 is: 201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.75 : 362.61 = 146.32 : x
  2. Step 2: Convert to fraction form
    262.75/362.61 = 146.32/x
  3. Step 3: Cross multiply
    262.75x = 362.61 × 146.32
  4. Step 4: Simplify right side
    262.75x = 53,057.10
  5. Step 5: Solve for x
    x = 53,057.10/262.75
  6. Step 6: Final answer
    x = 201.93

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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.