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Finding the Fourth Proportional to 211.82, 292.31 and 165.24

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Solution

The fourth proportional to 211.82, 292.31 and 165.24 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 292.31 = 165.24 : x
  2. Step 2: Convert to fraction form
    211.82/292.31 = 165.24/x
  3. Step 3: Cross multiply
    211.82x = 292.31 × 165.24
  4. Step 4: Simplify right side
    211.82x = 48,301.10
  5. Step 5: Solve for x
    x = 48,301.10/211.82
  6. Step 6: Final answer
    x = 228.03

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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.