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Finding the Fourth Proportional to 211.65, 291.87 and 164.94

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Solution

The fourth proportional to 211.65, 291.87 and 164.94 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.65 : 291.87 = 164.94 : x
  2. Step 2: Convert to fraction form
    211.65/291.87 = 164.94/x
  3. Step 3: Cross multiply
    211.65x = 291.87 × 164.94
  4. Step 4: Simplify right side
    211.65x = 48,141.04
  5. Step 5: Solve for x
    x = 48,141.04/211.65
  6. Step 6: Final answer
    x = 227.46

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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.