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Finding the Fourth Proportional to 262.98, 362.80 and 164.67

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Solution

The fourth proportional to 262.98, 362.80 and 164.67 is: 227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.98 : 362.80 = 164.67 : x
  2. Step 2: Convert to fraction form
    262.98/362.80 = 164.67/x
  3. Step 3: Cross multiply
    262.98x = 362.80 × 164.67
  4. Step 4: Simplify right side
    262.98x = 59,742.28
  5. Step 5: Solve for x
    x = 59,742.28/262.98
  6. Step 6: Final answer
    x = 227.17

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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.