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Finding the Fourth Proportional to 211.08, 291.70 and 171.66

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Solution

The fourth proportional to 211.08, 291.70 and 171.66 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.08 : 291.70 = 171.66 : x
  2. Step 2: Convert to fraction form
    211.08/291.70 = 171.66/x
  3. Step 3: Cross multiply
    211.08x = 291.70 × 171.66
  4. Step 4: Simplify right side
    211.08x = 50,073.22
  5. Step 5: Solve for x
    x = 50,073.22/211.08
  6. Step 6: Final answer
    x = 237.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.