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Finding the Fourth Proportional to 211.32, 291.26 and 164.68

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Solution

The fourth proportional to 211.32, 291.26 and 164.68 is: 226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 291.26 = 164.68 : x
  2. Step 2: Convert to fraction form
    211.32/291.26 = 164.68/x
  3. Step 3: Cross multiply
    211.32x = 291.26 × 164.68
  4. Step 4: Simplify right side
    211.32x = 47,964.70
  5. Step 5: Solve for x
    x = 47,964.70/211.32
  6. Step 6: Final answer
    x = 226.98

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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.