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Finding the Fourth Proportional to 211.19, 291.42 and 132.57

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Solution

The fourth proportional to 211.19, 291.42 and 132.57 is: 182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 291.42 = 132.57 : x
  2. Step 2: Convert to fraction form
    211.19/291.42 = 132.57/x
  3. Step 3: Cross multiply
    211.19x = 291.42 × 132.57
  4. Step 4: Simplify right side
    211.19x = 38,633.55
  5. Step 5: Solve for x
    x = 38,633.55/211.19
  6. Step 6: Final answer
    x = 182.94

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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.