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Finding the Fourth Proportional to 211.84, 292.31 and 118.59

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Solution

The fourth proportional to 211.84, 292.31 and 118.59 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.84 : 292.31 = 118.59 : x
  2. Step 2: Convert to fraction form
    211.84/292.31 = 118.59/x
  3. Step 3: Cross multiply
    211.84x = 292.31 × 118.59
  4. Step 4: Simplify right side
    211.84x = 34,665.04
  5. Step 5: Solve for x
    x = 34,665.04/211.84
  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.