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Finding the Fourth Proportional to 211.82, 292.48 and 168.35

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Solution

The fourth proportional to 211.82, 292.48 and 168.35 is: 232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 292.48 = 168.35 : x
  2. Step 2: Convert to fraction form
    211.82/292.48 = 168.35/x
  3. Step 3: Cross multiply
    211.82x = 292.48 × 168.35
  4. Step 4: Simplify right side
    211.82x = 49,237.12
  5. Step 5: Solve for x
    x = 49,237.12/211.82
  6. Step 6: Final answer
    x = 232.45

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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.