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Finding the Fourth Proportional to 211.14, 290.52 and 174.06

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Solution

The fourth proportional to 211.14, 290.52 and 174.06 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.14 : 290.52 = 174.06 : x
  2. Step 2: Convert to fraction form
    211.14/290.52 = 174.06/x
  3. Step 3: Cross multiply
    211.14x = 290.52 × 174.06
  4. Step 4: Simplify right side
    211.14x = 50,567.91
  5. Step 5: Solve for x
    x = 50,567.91/211.14
  6. Step 6: Final answer
    x = 239.50

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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.