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Finding the Fourth Proportional to 258.18, 356.04 and 164.79

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Solution

The fourth proportional to 258.18, 356.04 and 164.79 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.18 : 356.04 = 164.79 : x
  2. Step 2: Convert to fraction form
    258.18/356.04 = 164.79/x
  3. Step 3: Cross multiply
    258.18x = 356.04 × 164.79
  4. Step 4: Simplify right side
    258.18x = 58,671.83
  5. Step 5: Solve for x
    x = 58,671.83/258.18
  6. Step 6: Final answer
    x = 227.25

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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.