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Finding the Fourth Proportional to 262.99, 362.76 and 164.66

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Solution

The fourth proportional to 262.99, 362.76 and 164.66 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 362.76 = 164.66 : x
  2. Step 2: Convert to fraction form
    262.99/362.76 = 164.66/x
  3. Step 3: Cross multiply
    262.99x = 362.76 × 164.66
  4. Step 4: Simplify right side
    262.99x = 59,732.06
  5. Step 5: Solve for x
    x = 59,732.06/262.99
  6. Step 6: Final answer
    x = 227.13

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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.