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Finding the Fourth Proportional to 262.94, 362.69 and 164.68

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Solution

The fourth proportional to 262.94, 362.69 and 164.68 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 362.69 = 164.68 : x
  2. Step 2: Convert to fraction form
    262.94/362.69 = 164.68/x
  3. Step 3: Cross multiply
    262.94x = 362.69 × 164.68
  4. Step 4: Simplify right side
    262.94x = 59,727.29
  5. Step 5: Solve for x
    x = 59,727.29/262.94
  6. Step 6: Final answer
    x = 227.15

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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.