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Finding the Fourth Proportional to 211.14, 291.18 and 180.15

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Solution

The fourth proportional to 211.14, 291.18 and 180.15 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.14 : 291.18 = 180.15 : x
  2. Step 2: Convert to fraction form
    211.14/291.18 = 180.15/x
  3. Step 3: Cross multiply
    211.14x = 291.18 × 180.15
  4. Step 4: Simplify right side
    211.14x = 52,456.08
  5. Step 5: Solve for x
    x = 52,456.08/211.14
  6. Step 6: Final answer
    x = 248.44

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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.