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Finding the Fourth Proportional to 262.64, 362.74 and 164.48

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Solution

The fourth proportional to 262.64, 362.74 and 164.48 is: 227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 362.74 = 164.48 : x
  2. Step 2: Convert to fraction form
    262.64/362.74 = 164.48/x
  3. Step 3: Cross multiply
    262.64x = 362.74 × 164.48
  4. Step 4: Simplify right side
    262.64x = 59,663.48
  5. Step 5: Solve for x
    x = 59,663.48/262.64
  6. Step 6: Final answer
    x = 227.17

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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.