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Finding the Fourth Proportional to 258.10, 356.08 and 164.84

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Solution

The fourth proportional to 258.10, 356.08 and 164.84 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 356.08 = 164.84 : x
  2. Step 2: Convert to fraction form
    258.10/356.08 = 164.84/x
  3. Step 3: Cross multiply
    258.10x = 356.08 × 164.84
  4. Step 4: Simplify right side
    258.10x = 58,695.04
  5. Step 5: Solve for x
    x = 58,695.04/258.10
  6. Step 6: Final answer
    x = 227.41

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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.