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Finding the Fourth Proportional to 211.78, 292.30 and 118.56

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Solution

The fourth proportional to 211.78, 292.30 and 118.56 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.30 = 118.56 : x
  2. Step 2: Convert to fraction form
    211.78/292.30 = 118.56/x
  3. Step 3: Cross multiply
    211.78x = 292.30 × 118.56
  4. Step 4: Simplify right side
    211.78x = 34,655.09
  5. Step 5: Solve for x
    x = 34,655.09/211.78
  6. Step 6: Final answer
    x = 163.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.