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Finding the Fourth Proportional to 211.74, 292.03 and 159.22

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Solution

The fourth proportional to 211.74, 292.03 and 159.22 is: 219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 292.03 = 159.22 : x
  2. Step 2: Convert to fraction form
    211.74/292.03 = 159.22/x
  3. Step 3: Cross multiply
    211.74x = 292.03 × 159.22
  4. Step 4: Simplify right side
    211.74x = 46,497.02
  5. Step 5: Solve for x
    x = 46,497.02/211.74
  6. Step 6: Final answer
    x = 219.59

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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.