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Finding the Fourth Proportional to 211.78, 292.16 and 123.22

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Solution

The fourth proportional to 211.78, 292.16 and 123.22 is: 169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 292.16 = 123.22 : x
  2. Step 2: Convert to fraction form
    211.78/292.16 = 123.22/x
  3. Step 3: Cross multiply
    211.78x = 292.16 × 123.22
  4. Step 4: Simplify right side
    211.78x = 35,999.96
  5. Step 5: Solve for x
    x = 35,999.96/211.78
  6. Step 6: Final answer
    x = 169.99

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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.