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Finding the Fourth Proportional to 262.82, 362.60 and 175.34

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Solution

The fourth proportional to 262.82, 362.60 and 175.34 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.82 : 362.60 = 175.34 : x
  2. Step 2: Convert to fraction form
    262.82/362.60 = 175.34/x
  3. Step 3: Cross multiply
    262.82x = 362.60 × 175.34
  4. Step 4: Simplify right side
    262.82x = 63,578.28
  5. Step 5: Solve for x
    x = 63,578.28/262.82
  6. Step 6: Final answer
    x = 241.91

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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.