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Finding the Fourth Proportional to 211.78, 292.26 and 118.52

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Solution

The fourth proportional to 211.78, 292.26 and 118.52 is: 163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.26 = 118.52 : x
  2. Step 2: Convert to fraction form
    211.78/292.26 = 118.52/x
  3. Step 3: Cross multiply
    211.78x = 292.26 × 118.52
  4. Step 4: Simplify right side
    211.78x = 34,638.66
  5. Step 5: Solve for x
    x = 34,638.66/211.78
  6. Step 6: Final answer
    x = 163.56

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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.