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Finding the Fourth Proportional to 258.04, 356 and 164.76

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Solution

The fourth proportional to 258.04, 356 and 164.76 is: 227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.04 : 356 = 164.76 : x
  2. Step 2: Convert to fraction form
    258.04/356 = 164.76/x
  3. Step 3: Cross multiply
    258.04x = 356 × 164.76
  4. Step 4: Simplify right side
    258.04x = 58,654.56
  5. Step 5: Solve for x
    x = 58,654.56/258.04
  6. Step 6: Final answer
    x = 227.31

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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.