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Finding the Fourth Proportional to 170.06, 234.93 and 164.93

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Solution

The fourth proportional to 170.06, 234.93 and 164.93 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 234.93 = 164.93 : x
  2. Step 2: Convert to fraction form
    170.06/234.93 = 164.93/x
  3. Step 3: Cross multiply
    170.06x = 234.93 × 164.93
  4. Step 4: Simplify right side
    170.06x = 38,747.00
  5. Step 5: Solve for x
    x = 38,747.00/170.06
  6. Step 6: Final answer
    x = 227.84

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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.