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Finding the Fourth Proportional to 258.19, 356.16 and 164.77

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Solution

The fourth proportional to 258.19, 356.16 and 164.77 is: 227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 356.16 = 164.77 : x
  2. Step 2: Convert to fraction form
    258.19/356.16 = 164.77/x
  3. Step 3: Cross multiply
    258.19x = 356.16 × 164.77
  4. Step 4: Simplify right side
    258.19x = 58,684.21
  5. Step 5: Solve for x
    x = 58,684.21/258.19
  6. Step 6: Final answer
    x = 227.29

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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.