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Finding the Fourth Proportional to 258.06, 355.93 and 164.70

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Solution

The fourth proportional to 258.06, 355.93 and 164.70 is: 227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 355.93 = 164.70 : x
  2. Step 2: Convert to fraction form
    258.06/355.93 = 164.70/x
  3. Step 3: Cross multiply
    258.06x = 355.93 × 164.70
  4. Step 4: Simplify right side
    258.06x = 58,621.67
  5. Step 5: Solve for x
    x = 58,621.67/258.06
  6. Step 6: Final answer
    x = 227.16

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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.