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Finding the Fourth Proportional to 211.18, 290.25 and 186.47

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Solution

The fourth proportional to 211.18, 290.25 and 186.47 is: 256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.18 : 290.25 = 186.47 : x
  2. Step 2: Convert to fraction form
    211.18/290.25 = 186.47/x
  3. Step 3: Cross multiply
    211.18x = 290.25 × 186.47
  4. Step 4: Simplify right side
    211.18x = 54,122.92
  5. Step 5: Solve for x
    x = 54,122.92/211.18
  6. Step 6: Final answer
    x = 256.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.