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Finding the Fourth Proportional to 258.48, 356.64 and 165.16

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Solution

The fourth proportional to 258.48, 356.64 and 165.16 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.48 : 356.64 = 165.16 : x
  2. Step 2: Convert to fraction form
    258.48/356.64 = 165.16/x
  3. Step 3: Cross multiply
    258.48x = 356.64 × 165.16
  4. Step 4: Simplify right side
    258.48x = 58,902.66
  5. Step 5: Solve for x
    x = 58,902.66/258.48
  6. Step 6: Final answer
    x = 227.88

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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.