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Finding the Fourth Proportional to 211.42, 291.51 and 164.74

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Solution

The fourth proportional to 211.42, 291.51 and 164.74 is: 227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 291.51 = 164.74 : x
  2. Step 2: Convert to fraction form
    211.42/291.51 = 164.74/x
  3. Step 3: Cross multiply
    211.42x = 291.51 × 164.74
  4. Step 4: Simplify right side
    211.42x = 48,023.36
  5. Step 5: Solve for x
    x = 48,023.36/211.42
  6. Step 6: Final answer
    x = 227.15

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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.