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Finding the Fourth Proportional to 262.58, 362.35 and 164.39

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Solution

The fourth proportional to 262.58, 362.35 and 164.39 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 362.35 = 164.39 : x
  2. Step 2: Convert to fraction form
    262.58/362.35 = 164.39/x
  3. Step 3: Cross multiply
    262.58x = 362.35 × 164.39
  4. Step 4: Simplify right side
    262.58x = 59,564.49
  5. Step 5: Solve for x
    x = 59,564.49/262.58
  6. Step 6: Final answer
    x = 226.85

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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.