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Finding the Fourth Proportional to 258.31, 356.43 and 171.10

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Solution

The fourth proportional to 258.31, 356.43 and 171.10 is: 236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 356.43 = 171.10 : x
  2. Step 2: Convert to fraction form
    258.31/356.43 = 171.10/x
  3. Step 3: Cross multiply
    258.31x = 356.43 × 171.10
  4. Step 4: Simplify right side
    258.31x = 60,985.17
  5. Step 5: Solve for x
    x = 60,985.17/258.31
  6. Step 6: Final answer
    x = 236.09

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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.