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Finding the Fourth Proportional to 210.72, 290.43 and 164.10

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Solution

The fourth proportional to 210.72, 290.43 and 164.10 is: 226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 290.43 = 164.10 : x
  2. Step 2: Convert to fraction form
    210.72/290.43 = 164.10/x
  3. Step 3: Cross multiply
    210.72x = 290.43 × 164.10
  4. Step 4: Simplify right side
    210.72x = 47,659.56
  5. Step 5: Solve for x
    x = 47,659.56/210.72
  6. Step 6: Final answer
    x = 226.17

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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.