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Finding the Fourth Proportional to 211.24, 291 and 169.72

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Solution

The fourth proportional to 211.24, 291 and 169.72 is: 233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 291 = 169.72 : x
  2. Step 2: Convert to fraction form
    211.24/291 = 169.72/x
  3. Step 3: Cross multiply
    211.24x = 291 × 169.72
  4. Step 4: Simplify right side
    211.24x = 49,388.52
  5. Step 5: Solve for x
    x = 49,388.52/211.24
  6. Step 6: Final answer
    x = 233.80

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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.