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Finding the Fourth Proportional to 211.03, 291.24 and 141.06

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Solution

The fourth proportional to 211.03, 291.24 and 141.06 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.03 : 291.24 = 141.06 : x
  2. Step 2: Convert to fraction form
    211.03/291.24 = 141.06/x
  3. Step 3: Cross multiply
    211.03x = 291.24 × 141.06
  4. Step 4: Simplify right side
    211.03x = 41,082.31
  5. Step 5: Solve for x
    x = 41,082.31/211.03
  6. Step 6: Final answer
    x = 194.68

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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.