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Finding the Fourth Proportional to 211.51, 291.72 and 141.53

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Solution

The fourth proportional to 211.51, 291.72 and 141.53 is: 195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.51 : 291.72 = 141.53 : x
  2. Step 2: Convert to fraction form
    211.51/291.72 = 141.53/x
  3. Step 3: Cross multiply
    211.51x = 291.72 × 141.53
  4. Step 4: Simplify right side
    211.51x = 41,287.05
  5. Step 5: Solve for x
    x = 41,287.05/211.51
  6. Step 6: Final answer
    x = 195.20

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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.