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Finding the Fourth Proportional to 258.16, 356.32 and 164.99

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Solution

The fourth proportional to 258.16, 356.32 and 164.99 is: 227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.16 : 356.32 = 164.99 : x
  2. Step 2: Convert to fraction form
    258.16/356.32 = 164.99/x
  3. Step 3: Cross multiply
    258.16x = 356.32 × 164.99
  4. Step 4: Simplify right side
    258.16x = 58,788.79
  5. Step 5: Solve for x
    x = 58,788.79/258.16
  6. Step 6: Final answer
    x = 227.72

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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.