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Finding the Fourth Proportional to 258.01, 356.19 and 164.81

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Solution

The fourth proportional to 258.01, 356.19 and 164.81 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.01 : 356.19 = 164.81 : x
  2. Step 2: Convert to fraction form
    258.01/356.19 = 164.81/x
  3. Step 3: Cross multiply
    258.01x = 356.19 × 164.81
  4. Step 4: Simplify right side
    258.01x = 58,703.67
  5. Step 5: Solve for x
    x = 58,703.67/258.01
  6. Step 6: Final answer
    x = 227.53

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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.