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Finding the Fourth Proportional to 210.96, 291.36 and 164.64

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Solution

The fourth proportional to 210.96, 291.36 and 164.64 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 291.36 = 164.64 : x
  2. Step 2: Convert to fraction form
    210.96/291.36 = 164.64/x
  3. Step 3: Cross multiply
    210.96x = 291.36 × 164.64
  4. Step 4: Simplify right side
    210.96x = 47,969.51
  5. Step 5: Solve for x
    x = 47,969.51/210.96
  6. Step 6: Final answer
    x = 227.39

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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.