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Finding the Fourth Proportional to 170.22, 254.91 and 164.01

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Solution

The fourth proportional to 170.22, 254.91 and 164.01 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.22 : 254.91 = 164.01 : x
  2. Step 2: Convert to fraction form
    170.22/254.91 = 164.01/x
  3. Step 3: Cross multiply
    170.22x = 254.91 × 164.01
  4. Step 4: Simplify right side
    170.22x = 41,807.79
  5. Step 5: Solve for x
    x = 41,807.79/170.22
  6. Step 6: Final answer
    x = 245.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.