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Finding the Fourth Proportional to 211.12, 291.35 and 132.43

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Solution

The fourth proportional to 211.12, 291.35 and 132.43 is: 182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.12 : 291.35 = 132.43 : x
  2. Step 2: Convert to fraction form
    211.12/291.35 = 132.43/x
  3. Step 3: Cross multiply
    211.12x = 291.35 × 132.43
  4. Step 4: Simplify right side
    211.12x = 38,583.48
  5. Step 5: Solve for x
    x = 38,583.48/211.12
  6. Step 6: Final answer
    x = 182.76

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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.